In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

[Q]: 7, 15, ['1769', 'c', '7895', '8687', '985', '7559', '1109', 'X', 'z', '2309', 'D', 'P', '8655', 'I', 'u', 'z', '9639', '83', '7631']
[A]: 12073


[Q]: 2, 10, ['2797', 'm', '439', '5677', '6719', '1587', 'I', 'I', 'w', '8483', '7341', '341', 'H', 'K', '7727', '4467', 'L']
[A]: 22905


[Q]: 9, 13, ['i', 'g', 'N', '4995', 'Q', '8099', '395', '2777', 'F', '1069', 'W', '5135', 'x']
[A]:
6204