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Finding the Fourth Proportional to 16,134.27, 24,215.99 and 6,781.20

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Solution

The fourth proportional to 16,134.27, 24,215.99 and 6,781.20 is: 10,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.27 : 24,215.99 = 6,781.20 : x
  2. Step 2: Convert to fraction form
    16,134.27/24,215.99 = 6,781.20/x
  3. Step 3: Cross multiply
    16,134.27x = 24,215.99 × 6,781.20
  4. Step 4: Simplify right side
    16,134.27x = 164,213,346.67
  5. Step 5: Solve for x
    x = 164,213,346.67/16,134.27
  6. Step 6: Final answer
    x = 10,177.92

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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.