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Finding the Fourth Proportional to 22,775, 34,167.36 and 8,924

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Solution

The fourth proportional to 22,775, 34,167.36 and 8,924 is: 13,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775 : 34,167.36 = 8,924 : x
  2. Step 2: Convert to fraction form
    22,775/34,167.36 = 8,924/x
  3. Step 3: Cross multiply
    22,775x = 34,167.36 × 8,924
  4. Step 4: Simplify right side
    22,775x = 304,909,520.64
  5. Step 5: Solve for x
    x = 304,909,520.64/22,775
  6. Step 6: Final answer
    x = 13,387.90

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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.