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Finding the Fourth Proportional to 24,211.68, 36,324 and 13,830.72

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Solution

The fourth proportional to 24,211.68, 36,324 and 13,830.72 is: 20,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,211.68 : 36,324 = 13,830.72 : x
  2. Step 2: Convert to fraction form
    24,211.68/36,324 = 13,830.72/x
  3. Step 3: Cross multiply
    24,211.68x = 36,324 × 13,830.72
  4. Step 4: Simplify right side
    24,211.68x = 502,387,073.28
  5. Step 5: Solve for x
    x = 502,387,073.28/24,211.68
  6. Step 6: Final answer
    x = 20,749.78

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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.