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Finding the Fourth Proportional to 38,419.20, 57,614.04 and 11,760.24

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Solution

The fourth proportional to 38,419.20, 57,614.04 and 11,760.24 is: 17,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.20 : 57,614.04 = 11,760.24 : x
  2. Step 2: Convert to fraction form
    38,419.20/57,614.04 = 11,760.24/x
  3. Step 3: Cross multiply
    38,419.20x = 57,614.04 × 11,760.24
  4. Step 4: Simplify right side
    38,419.20x = 677,554,937.77
  5. Step 5: Solve for x
    x = 677,554,937.77/38,419.20
  6. Step 6: Final answer
    x = 17,635.84

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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.