Can i jump 25ft vertical jump even though my base speed is 20ft?

If i did an acrobatics check to Vertical jump and got 25 ft as a result (result of dice 100:4) and my base speed is only 20 ft would i be able to do it, complete it in another round, or just simply jump 20ft?

If you rolled a 100 and had a base 20 you'd suffer a -4 for being below 30. So let's say 100 after penalties. We can also assume 10 feet running distance.

The skill says "result is distance travelled."

Nothing about limit of your speed.

A long jump takes up your movement and i'm not sure if that applies to vertical jumps because usually you only jump around 3-5 ft on vertical jumps. But in this scenario it's 25 ft which is more than my 20ft base speed so would i have to use my 2nd round to finish the jump or i just jump 20ft?

These DCs double if you do not have at least 10 feet of space to get a running start... Creatures with a base land speed below 30 feet receive a –4 racial bonus on Acrobatics checks made to jump for every 10 feet of their speed below 30 feet. No jump can allow you to exceed your maximum movement for the round.

Run (×4): Moving four times speed is a running pace for a character in light, medium, or no armor ( about 12 miles per hour for an unencumbered human, or 9 miles per hour for a human in chainmail) See Table: Movement and Distance for details.

So, No... with a bace speed of 20', you can run 80' per round. As long as you jump before 55' (minimum 10'), it all happens in one round.