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Finding the Fourth Proportional to 29,715.24, 41,008.24 and 16,970.50

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Solution

The fourth proportional to 29,715.24, 41,008.24 and 16,970.50 is: 23,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,715.24 : 41,008.24 = 16,970.50 : x
  2. Step 2: Convert to fraction form
    29,715.24/41,008.24 = 16,970.50/x
  3. Step 3: Cross multiply
    29,715.24x = 41,008.24 × 16,970.50
  4. Step 4: Simplify right side
    29,715.24x = 695,930,336.92
  5. Step 5: Solve for x
    x = 695,930,336.92/29,715.24
  6. Step 6: Final answer
    x = 23,419.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.