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Finding the Fourth Proportional to 24,770.32, 37,131 and 9,183.76

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Solution

The fourth proportional to 24,770.32, 37,131 and 9,183.76 is: 13,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770.32 : 37,131 = 9,183.76 : x
  2. Step 2: Convert to fraction form
    24,770.32/37,131 = 9,183.76/x
  3. Step 3: Cross multiply
    24,770.32x = 37,131 × 9,183.76
  4. Step 4: Simplify right side
    24,770.32x = 341,002,192.56
  5. Step 5: Solve for x
    x = 341,002,192.56/24,770.32
  6. Step 6: Final answer
    x = 13,766.56

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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.