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Finding the Fourth Proportional to 41,908, 62,869.72 and 13,830

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Solution

The fourth proportional to 41,908, 62,869.72 and 13,830 is: 20,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,908 : 62,869.72 = 13,830 : x
  2. Step 2: Convert to fraction form
    41,908/62,869.72 = 13,830/x
  3. Step 3: Cross multiply
    41,908x = 62,869.72 × 13,830
  4. Step 4: Simplify right side
    41,908x = 869,488,227.60
  5. Step 5: Solve for x
    x = 869,488,227.60/41,908
  6. Step 6: Final answer
    x = 20,747.55

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