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Definition of attainable : 1. Capable of being attained or reached by efforts of the mind or body; capable of being compassed or accomplished by efforts directed to the object.
2. Obtainable.

Synonyms:

come-at-able, getatable, procurable, gettable, on hand, acquirable, reachable, get, getable, get-at-able, to be had

feasible, obtainable, available, achievable, possible, workable, practicable

Usage examples:

• There is, however, one point of attainable knowledge which we must mention in conclusion. - "The Story of the Heavens", Robert Stawell Ball.
• Vacations for working girls, otherwise out of reach, are made attainable by its intervention. - "The Children of the Poor", Jacob A. Riis.
• A great conflict for national existence made necessary, for temporary purposes, the raising of large sums of money from whatever source attainable. - "Complete State of the Union Addresses from 1790 to the Present", Various.