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Finding the Fourth Proportional to 24,486.64, 36,715.05 and 10,438.78

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Solution

The fourth proportional to 24,486.64, 36,715.05 and 10,438.78 is: 15,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,486.64 : 36,715.05 = 10,438.78 : x
  2. Step 2: Convert to fraction form
    24,486.64/36,715.05 = 10,438.78/x
  3. Step 3: Cross multiply
    24,486.64x = 36,715.05 × 10,438.78
  4. Step 4: Simplify right side
    24,486.64x = 383,260,329.64
  5. Step 5: Solve for x
    x = 383,260,329.64/24,486.64
  6. Step 6: Final answer
    x = 15,651.81

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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.