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Finding the Fourth Proportional to 16,296.67, 24,429.40 and 5,197.24

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Solution

The fourth proportional to 16,296.67, 24,429.40 and 5,197.24 is: 7,790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296.67 : 24,429.40 = 5,197.24 : x
  2. Step 2: Convert to fraction form
    16,296.67/24,429.40 = 5,197.24/x
  3. Step 3: Cross multiply
    16,296.67x = 24,429.40 × 5,197.24
  4. Step 4: Simplify right side
    16,296.67x = 126,965,454.86
  5. Step 5: Solve for x
    x = 126,965,454.86/16,296.67
  6. Step 6: Final answer
    x = 7,790.88

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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.