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Finding the Fourth Proportional to 24,711.66, 37,069.92 and 7,176.78

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Solution

The fourth proportional to 24,711.66, 37,069.92 and 7,176.78 is: 10,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.66 : 37,069.92 = 7,176.78 : x
  2. Step 2: Convert to fraction form
    24,711.66/37,069.92 = 7,176.78/x
  3. Step 3: Cross multiply
    24,711.66x = 37,069.92 × 7,176.78
  4. Step 4: Simplify right side
    24,711.66x = 266,042,660.46
  5. Step 5: Solve for x
    x = 266,042,660.46/24,711.66
  6. Step 6: Final answer
    x = 10,765.88

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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.