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Finding the Fourth Proportional to 12,524.97, 17,284.30 and 7,147.27

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Solution

The fourth proportional to 12,524.97, 17,284.30 and 7,147.27 is: 9,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.97 : 17,284.30 = 7,147.27 : x
  2. Step 2: Convert to fraction form
    12,524.97/17,284.30 = 7,147.27/x
  3. Step 3: Cross multiply
    12,524.97x = 17,284.30 × 7,147.27
  4. Step 4: Simplify right side
    12,524.97x = 123,535,497.78
  5. Step 5: Solve for x
    x = 123,535,497.78/12,524.97
  6. Step 6: Final answer
    x = 9,863.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.