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Finding the Fourth Proportional to 16,234.22, 22,402.17 and 9,064.81

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Solution

The fourth proportional to 16,234.22, 22,402.17 and 9,064.81 is: 12,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.22 : 22,402.17 = 9,064.81 : x
  2. Step 2: Convert to fraction form
    16,234.22/22,402.17 = 9,064.81/x
  3. Step 3: Cross multiply
    16,234.22x = 22,402.17 × 9,064.81
  4. Step 4: Simplify right side
    16,234.22x = 203,071,369.31
  5. Step 5: Solve for x
    x = 203,071,369.31/16,234.22
  6. Step 6: Final answer
    x = 12,508.85

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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.