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Finding the Fourth Proportional to 22,375.43, 30,877.59 and 12,166.24

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Solution

The fourth proportional to 22,375.43, 30,877.59 and 12,166.24 is: 16,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,375.43 : 30,877.59 = 12,166.24 : x
  2. Step 2: Convert to fraction form
    22,375.43/30,877.59 = 12,166.24/x
  3. Step 3: Cross multiply
    22,375.43x = 30,877.59 × 12,166.24
  4. Step 4: Simplify right side
    22,375.43x = 375,664,293.38
  5. Step 5: Solve for x
    x = 375,664,293.38/22,375.43
  6. Step 6: Final answer
    x = 16,789.14

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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.