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: 2, 9, ['4437', 'g', 'I', 'u', '4299', '45', '4397', '5327', '5301', 'J', 'K', '4129', 'W', '8567']
Example Output: 19369

Example Input: 11, 27, ['1573', '6065', '869', '77', '9665', 'o', '8359', 'g', '3557', '521', '6797', '5117', '3921', '5707', 'k', '9855', '8415', 'Y', 'l', 'S', '385', '9063', '8975', '2047', 'H', 'p', 'p']
Example Output: 60282

Example Input: 16, 17, ['4113', 'W', 'f', 'b', '4613', 'V', '7803', 't', '3425', '1367', 'l', '1039', 'i', '5423', 'T', 'x', 'D', 'e', 'h', 'R', '7369', '4495', '4367', '5805']
Example Output:
0