This is the 4682nd most frequent German word.
vernünftigen
"Reasonable" or "sensible."
Here, 'vernünftigen' is used as an adjective modifying 'Entscheidungen', describing decisions that are sensible and practical.
Es ist wichtig, vernünftigen Entscheidungen zu treffen.
It is important to make reasonable decisions.
In this context, 'vernünftigen' qualifies 'Lösung', implying a solution that is wise and sound.
Die Diskussion führte zu einer vernünftigen Lösung.
The discussion led to a reasonable solution.
Here, 'vernünftigen' describes 'Budget', suggesting it is judicious and appropriate.