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Finding the Fourth Proportional to 16,651.31, 24,976.96 and 5,408.91

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Solution

The fourth proportional to 16,651.31, 24,976.96 and 5,408.91 is: 8,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.31 : 24,976.96 = 5,408.91 : x
  2. Step 2: Convert to fraction form
    16,651.31/24,976.96 = 5,408.91/x
  3. Step 3: Cross multiply
    16,651.31x = 24,976.96 × 5,408.91
  4. Step 4: Simplify right side
    16,651.31x = 135,098,115.19
  5. Step 5: Solve for x
    x = 135,098,115.19/16,651.31
  6. Step 6: Final answer
    x = 8,113.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.