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Finding the Fourth Proportional to 16,267.30, 24,400.68 and 5,174.68

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Solution

The fourth proportional to 16,267.30, 24,400.68 and 5,174.68 is: 7,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.30 : 24,400.68 = 5,174.68 : x
  2. Step 2: Convert to fraction form
    16,267.30/24,400.68 = 5,174.68/x
  3. Step 3: Cross multiply
    16,267.30x = 24,400.68 × 5,174.68
  4. Step 4: Simplify right side
    16,267.30x = 126,265,710.78
  5. Step 5: Solve for x
    x = 126,265,710.78/16,267.30
  6. Step 6: Final answer
    x = 7,761.93

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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.