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Finding the Fourth Proportional to 17,737.20, 26,609.40 and 8,377.20

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Solution

The fourth proportional to 17,737.20, 26,609.40 and 8,377.20 is: 12,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.20 : 26,609.40 = 8,377.20 : x
  2. Step 2: Convert to fraction form
    17,737.20/26,609.40 = 8,377.20/x
  3. Step 3: Cross multiply
    17,737.20x = 26,609.40 × 8,377.20
  4. Step 4: Simplify right side
    17,737.20x = 222,912,265.68
  5. Step 5: Solve for x
    x = 222,912,265.68/17,737.20
  6. Step 6: Final answer
    x = 12,567.50

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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.