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Finding the Fourth Proportional to 16,691.50, 23,035.71 and 9,240.94

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Solution

The fourth proportional to 16,691.50, 23,035.71 and 9,240.94 is: 12,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.50 : 23,035.71 = 9,240.94 : x
  2. Step 2: Convert to fraction form
    16,691.50/23,035.71 = 9,240.94/x
  3. Step 3: Cross multiply
    16,691.50x = 23,035.71 × 9,240.94
  4. Step 4: Simplify right side
    16,691.50x = 212,871,613.97
  5. Step 5: Solve for x
    x = 212,871,613.97/16,691.50
  6. Step 6: Final answer
    x = 12,753.29

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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.