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Finding the Fourth Proportional to 17,257.17, 25,911.68 and 9,869.97

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Solution

The fourth proportional to 17,257.17, 25,911.68 and 9,869.97 is: 14,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.17 : 25,911.68 = 9,869.97 : x
  2. Step 2: Convert to fraction form
    17,257.17/25,911.68 = 9,869.97/x
  3. Step 3: Cross multiply
    17,257.17x = 25,911.68 × 9,869.97
  4. Step 4: Simplify right side
    17,257.17x = 255,747,454.90
  5. Step 5: Solve for x
    x = 255,747,454.90/17,257.17
  6. Step 6: Final answer
    x = 14,819.78

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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.