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Finding the Fourth Proportional to 16,174.32, 24,253.22 and 7,401.71

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Solution

The fourth proportional to 16,174.32, 24,253.22 and 7,401.71 is: 11,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.32 : 24,253.22 = 7,401.71 : x
  2. Step 2: Convert to fraction form
    16,174.32/24,253.22 = 7,401.71/x
  3. Step 3: Cross multiply
    16,174.32x = 24,253.22 × 7,401.71
  4. Step 4: Simplify right side
    16,174.32x = 179,515,380.14
  5. Step 5: Solve for x
    x = 179,515,380.14/16,174.32
  6. Step 6: Final answer
    x = 11,098.79

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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.