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.
4, 19, ['6741', 'N', '6685', 'J', 'P', 'm', '371', 'J', '6575', 'b', 'H', '5629', 'V', '2281', '6787', 'p', 'w', '9819', '4213', 'r', '1487', '2409', '2387']