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Finding the Fourth Proportional to 21,538.20, 32,294.06 and 8,375.22

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Solution

The fourth proportional to 21,538.20, 32,294.06 and 8,375.22 is: 12,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.20 : 32,294.06 = 8,375.22 : x
  2. Step 2: Convert to fraction form
    21,538.20/32,294.06 = 8,375.22/x
  3. Step 3: Cross multiply
    21,538.20x = 32,294.06 × 8,375.22
  4. Step 4: Simplify right side
    21,538.20x = 270,469,857.19
  5. Step 5: Solve for x
    x = 270,469,857.19/21,538.20
  6. Step 6: Final answer
    x = 12,557.68

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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.