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Finding the Fourth Proportional to 16,234.31, 22,402.91 and 9,160.18

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Solution

The fourth proportional to 16,234.31, 22,402.91 and 9,160.18 is: 12,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.31 : 22,402.91 = 9,160.18 : x
  2. Step 2: Convert to fraction form
    16,234.31/22,402.91 = 9,160.18/x
  3. Step 3: Cross multiply
    16,234.31x = 22,402.91 × 9,160.18
  4. Step 4: Simplify right side
    16,234.31x = 205,214,655.02
  5. Step 5: Solve for x
    x = 205,214,655.02/16,234.31
  6. Step 6: Final answer
    x = 12,640.80

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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.