adjust your wrist and forearm so that the 4th and 5th fingers are in a straight line with the line of your forearm
You are not cheating if you simply cannot reach the notes, I mean how far do we take that concept. I cannot reach a 10th and so have to very slightly roll it.
I haven't got the whole score in front of me can your right hand take the top notes at all?
I know its slurred there but you can maybe even get away with 23 again so 23 5 23 see how it sounds.
I don't condone using the pedal as a crutch but if you can use it and achieve the same sound then who has the right to tell you otherwise?
make sure your alignment is good. The wrist should be held high enough for the fingers to drop down with minimal effort. Also make sure you aren't holding tension anywhere, and you feel like you could play for a long time.