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Finding the Fourth Proportional to 16,332.50, 22,538.19 and 9,618.41

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Solution

The fourth proportional to 16,332.50, 22,538.19 and 9,618.41 is: 13,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,332.50 : 22,538.19 = 9,618.41 : x
  2. Step 2: Convert to fraction form
    16,332.50/22,538.19 = 9,618.41/x
  3. Step 3: Cross multiply
    16,332.50x = 22,538.19 × 9,618.41
  4. Step 4: Simplify right side
    16,332.50x = 216,781,552.08
  5. Step 5: Solve for x
    x = 216,781,552.08/16,332.50
  6. Step 6: Final answer
    x = 13,273.02

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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.