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Finding the Fourth Proportional to 17,687.97, 26,522.82 and 5,206.38

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Solution

The fourth proportional to 17,687.97, 26,522.82 and 5,206.38 is: 7,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.97 : 26,522.82 = 5,206.38 : x
  2. Step 2: Convert to fraction form
    17,687.97/26,522.82 = 5,206.38/x
  3. Step 3: Cross multiply
    17,687.97x = 26,522.82 × 5,206.38
  4. Step 4: Simplify right side
    17,687.97x = 138,087,879.59
  5. Step 5: Solve for x
    x = 138,087,879.59/17,687.97
  6. Step 6: Final answer
    x = 7,806.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.