How does acetone help to make a liquid cleaner stronger? Acetone, as a solvent, seems to behave somewhat different than other solvents. It seems to solve things other unpolar solvents do not.

For example, I have two cleaner sprays from the same brand, and the one with acetone seems to be "stronger" in some way. I think I have noticed that difference before elsewhere, so I assume at least part of what makes it stronger is the acetone.
Well, acetone is at the same time polar (so it likes water) and lipophilic (so it likes fat). As such, it is a very good solvent.