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Finding the Fourth Proportional to 16,267.38, 22,446.09 and 9,892.14

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Solution

The fourth proportional to 16,267.38, 22,446.09 and 9,892.14 is: 13,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.38 : 22,446.09 = 9,892.14 : x
  2. Step 2: Convert to fraction form
    16,267.38/22,446.09 = 9,892.14/x
  3. Step 3: Cross multiply
    16,267.38x = 22,446.09 × 9,892.14
  4. Step 4: Simplify right side
    16,267.38x = 222,039,864.73
  5. Step 5: Solve for x
    x = 222,039,864.73/16,267.38
  6. Step 6: Final answer
    x = 13,649.39

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Why These Related Problems?

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