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Finding the Fourth Proportional to 21,469.52, 32,195.37 and 8,314.31

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Solution

The fourth proportional to 21,469.52, 32,195.37 and 8,314.31 is: 12,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,469.52 : 32,195.37 = 8,314.31 : x
  2. Step 2: Convert to fraction form
    21,469.52/32,195.37 = 8,314.31/x
  3. Step 3: Cross multiply
    21,469.52x = 32,195.37 × 8,314.31
  4. Step 4: Simplify right side
    21,469.52x = 267,682,398.41
  5. Step 5: Solve for x
    x = 267,682,398.41/21,469.52
  6. Step 6: Final answer
    x = 12,468.02

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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.