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Finding the Fourth Proportional to 17,137, 25,693.79 and 9,132.97

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Solution

The fourth proportional to 17,137, 25,693.79 and 9,132.97 is: 13,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137 : 25,693.79 = 9,132.97 : x
  2. Step 2: Convert to fraction form
    17,137/25,693.79 = 9,132.97/x
  3. Step 3: Cross multiply
    17,137x = 25,693.79 × 9,132.97
  4. Step 4: Simplify right side
    17,137x = 234,660,613.26
  5. Step 5: Solve for x
    x = 234,660,613.26/17,137
  6. Step 6: Final answer
    x = 13,693.21

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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.