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: 11, 18, ['7053', '4271', '3175', '3997', '4153', '3255', 'd', '4507', 'q', 'm', 'V', '9999', 'Q', 'v', '8543', '2835', '1545', '3549']
Example Output: 26471

Example Input: 12, 15, ['I', 'H', '3483', '6289', 'X', '5705', '7707', 'x', 'J', 'c', '5161', '9653', '3949', 'l', 'b', 'C', 's', '17', 'a', '4231', 't']
Example Output: 13602

Example Input: 3, 15, ['8983', '9749', 'W', 'p', '9959', '7037', '6841', '3255', 'Y', 'k', '8939', 'X', '5073', '5805', '8975', 'N', 'Q']
Example Output:
55884