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Finding the Fourth Proportional to 17,155.47, 25,743.08 and 9,257.97

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Solution

The fourth proportional to 17,155.47, 25,743.08 and 9,257.97 is: 13,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,155.47 : 25,743.08 = 9,257.97 : x
  2. Step 2: Convert to fraction form
    17,155.47/25,743.08 = 9,257.97/x
  3. Step 3: Cross multiply
    17,155.47x = 25,743.08 × 9,257.97
  4. Step 4: Simplify right side
    17,155.47x = 238,328,662.35
  5. Step 5: Solve for x
    x = 238,328,662.35/17,155.47
  6. Step 6: Final answer
    x = 13,892.28

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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.