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Finding the Fourth Proportional to 24,545.43, 36,796.68 and 8,748

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Solution

The fourth proportional to 24,545.43, 36,796.68 and 8,748 is: 13,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,545.43 : 36,796.68 = 8,748 : x
  2. Step 2: Convert to fraction form
    24,545.43/36,796.68 = 8,748/x
  3. Step 3: Cross multiply
    24,545.43x = 36,796.68 × 8,748
  4. Step 4: Simplify right side
    24,545.43x = 321,897,356.64
  5. Step 5: Solve for x
    x = 321,897,356.64/24,545.43
  6. Step 6: Final answer
    x = 13,114.35

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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.