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Finding the Fourth Proportional to 24,771, 34,183.98 and 13,593.72

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Solution

The fourth proportional to 24,771, 34,183.98 and 13,593.72 is: 18,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771 : 34,183.98 = 13,593.72 : x
  2. Step 2: Convert to fraction form
    24,771/34,183.98 = 13,593.72/x
  3. Step 3: Cross multiply
    24,771x = 34,183.98 × 13,593.72
  4. Step 4: Simplify right side
    24,771x = 464,687,452.61
  5. Step 5: Solve for x
    x = 464,687,452.61/24,771
  6. Step 6: Final answer
    x = 18,759.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.