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Finding the Fourth Proportional to 17,167.74, 25,761.18 and 9,270.09

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Solution

The fourth proportional to 17,167.74, 25,761.18 and 9,270.09 is: 13,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,167.74 : 25,761.18 = 9,270.09 : x
  2. Step 2: Convert to fraction form
    17,167.74/25,761.18 = 9,270.09/x
  3. Step 3: Cross multiply
    17,167.74x = 25,761.18 × 9,270.09
  4. Step 4: Simplify right side
    17,167.74x = 238,808,491.87
  5. Step 5: Solve for x
    x = 238,808,491.87/17,167.74
  6. Step 6: Final answer
    x = 13,910.30

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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.