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Finding the Fourth Proportional to 17,185.77, 25,757.10 and 9,287.96

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Solution

The fourth proportional to 17,185.77, 25,757.10 and 9,287.96 is: 13,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.77 : 25,757.10 = 9,287.96 : x
  2. Step 2: Convert to fraction form
    17,185.77/25,757.10 = 9,287.96/x
  3. Step 3: Cross multiply
    17,185.77x = 25,757.10 × 9,287.96
  4. Step 4: Simplify right side
    17,185.77x = 239,230,785.73
  5. Step 5: Solve for x
    x = 239,230,785.73/17,185.77
  6. Step 6: Final answer
    x = 13,920.28

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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.