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Finding the Fourth Proportional to 24,488.64, 36,718.05 and 10,440.78

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Solution

The fourth proportional to 24,488.64, 36,718.05 and 10,440.78 is: 15,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,488.64 : 36,718.05 = 10,440.78 : x
  2. Step 2: Convert to fraction form
    24,488.64/36,718.05 = 10,440.78/x
  3. Step 3: Cross multiply
    24,488.64x = 36,718.05 × 10,440.78
  4. Step 4: Simplify right side
    24,488.64x = 383,365,082.08
  5. Step 5: Solve for x
    x = 383,365,082.08/24,488.64
  6. Step 6: Final answer
    x = 15,654.81

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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.