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Finding the Fourth Proportional to 17,254.97, 25,851.15 and 7,902.81

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Solution

The fourth proportional to 17,254.97, 25,851.15 and 7,902.81 is: 11,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254.97 : 25,851.15 = 7,902.81 : x
  2. Step 2: Convert to fraction form
    17,254.97/25,851.15 = 7,902.81/x
  3. Step 3: Cross multiply
    17,254.97x = 25,851.15 × 7,902.81
  4. Step 4: Simplify right side
    17,254.97x = 204,296,726.73
  5. Step 5: Solve for x
    x = 204,296,726.73/17,254.97
  6. Step 6: Final answer
    x = 11,839.88

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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.