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.

Example Input: 25, 27, ['6411', '2467', 'y', '4973', 'C', '8853', 'H', 'G', 'a', 'N', '3759', '7803', '5403', 'Z', '4047', '6283', 'v', '5437', 'p', 't', 'S', '7605', 's', 'Z', '7537', 'Y', 'U', 'W', '2147', 'K']
Example Output: 7537

Example Input: 2, 5, ['m', 'o', 't', 'c', 'S', 'R', 'I', '4937', '1127', '1611', '285', '3653', '309', 'y', '513', 'i', '8005', 'n', '6915', '8585', 'G', 'A', '1921', 'd']
Example Output: 0

Example Input: 8, 13, ['7819', 'q', '1831', '6145', '5681', '8175', '5543', '7605', '3845', 'N', '9693', 's', '3649', '6263', 'F', '2035']
Example Output:
24792