Definition: 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.
Input: 4, 17, ['8205', '6177', '4425', '7447', '9809', '6677', '6565', '5103', '185', '8193', '9471', 'P', 'Z', '8099', '3287', 'J', '4881', '7725', 'g', '6563', 'j', 'K', '3895', '6507', '7223', 'w', '6511']

69717