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Finding the Fourth Proportional to 17,680.14, 26,523.12 and 8,201.97

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Solution

The fourth proportional to 17,680.14, 26,523.12 and 8,201.97 is: 12,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.14 : 26,523.12 = 8,201.97 : x
  2. Step 2: Convert to fraction form
    17,680.14/26,523.12 = 8,201.97/x
  3. Step 3: Cross multiply
    17,680.14x = 26,523.12 × 8,201.97
  4. Step 4: Simplify right side
    17,680.14x = 217,541,834.55
  5. Step 5: Solve for x
    x = 217,541,834.55/17,680.14
  6. Step 6: Final answer
    x = 12,304.30

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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.