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Finding the Fourth Proportional to 24,601, 33,949.38 and 14,665

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Solution

The fourth proportional to 24,601, 33,949.38 and 14,665 is: 20,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,601 : 33,949.38 = 14,665 : x
  2. Step 2: Convert to fraction form
    24,601/33,949.38 = 14,665/x
  3. Step 3: Cross multiply
    24,601x = 33,949.38 × 14,665
  4. Step 4: Simplify right side
    24,601x = 497,867,657.70
  5. Step 5: Solve for x
    x = 497,867,657.70/24,601
  6. Step 6: Final answer
    x = 20,237.70

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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.