Questions & Answers about Kiel ajn granda estas la takso, li klarigos ĝin.
Here kiel ajn means however or no matter how.
So Kiel ajn granda estas la takso... means However large the assessment/estimate is... The idea is concessive: the main statement stays true regardless of the size.
Ajn adds a sense like ever, any, or no matter which/how.
Compare:
- kiel granda estas la takso? = how large is the assessment?
- kiel ajn granda estas la takso = however large the assessment is / no matter how large the assessment is
So ajn is essential here. Without it, the sentence would no longer have the meaning no matter how.
Because kiel ajn granda works as a unit meaning however large.
Esperanto often keeps those words together:
- kiel ajn granda = however large
- kiel ajn malfacila = however difficult
- kiel ajn rapide = however quickly
Putting granda there makes the pattern very clear and natural.