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: 28, 29, ['9439', '4749', 'b', '5065', 'W', '3631', '4647', '2367', '7155', 'X', 'R', '7889', '3135', '5547', 'C', 'j', 'b', 'e', 'U', 'Y', '8799', 'z', 'h', '7759', '1913', '6103', 'y', 'M', 'B']
Example Output: 0

Example Input: 1, 3, ['5437', '8521', '9081', 'h', '5453', '5065', '2949', 'P', 'Q', '2853', '7857', 'l', '5217', 'O', 'V', '3585', 't', '2593', 'V']
Example Output: 23039

Example Input: 7, 19, ['6719', 'c', 'S', '3259', '1287', 'u', '9251', '2183', '4821', '9449', 'I', 'P', 'i', '7597', '8141', 'G', 'j', '8587', '7245', 'G', 'O', 'o', '9479']
Example Output:
57274