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Finding the Fourth Proportional to 16,092.38, 22,208.10 and 9,018.92

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Solution

The fourth proportional to 16,092.38, 22,208.10 and 9,018.92 is: 12,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.38 : 22,208.10 = 9,018.92 : x
  2. Step 2: Convert to fraction form
    16,092.38/22,208.10 = 9,018.92/x
  3. Step 3: Cross multiply
    16,092.38x = 22,208.10 × 9,018.92
  4. Step 4: Simplify right side
    16,092.38x = 200,293,077.25
  5. Step 5: Solve for x
    x = 200,293,077.25/16,092.38
  6. Step 6: Final answer
    x = 12,446.45

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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.