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Finding the Fourth Proportional to 22,658.60, 33,979.82 and 8,614.89

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Solution

The fourth proportional to 22,658.60, 33,979.82 and 8,614.89 is: 12,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.60 : 33,979.82 = 8,614.89 : x
  2. Step 2: Convert to fraction form
    22,658.60/33,979.82 = 8,614.89/x
  3. Step 3: Cross multiply
    22,658.60x = 33,979.82 × 8,614.89
  4. Step 4: Simplify right side
    22,658.60x = 292,732,411.52
  5. Step 5: Solve for x
    x = 292,732,411.52/22,658.60
  6. Step 6: Final answer
    x = 12,919.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.