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Finding the Fourth Proportional to 12,229.52, 16,885.14 and 8,256.20

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Solution

The fourth proportional to 12,229.52, 16,885.14 and 8,256.20 is: 11,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.52 : 16,885.14 = 8,256.20 : x
  2. Step 2: Convert to fraction form
    12,229.52/16,885.14 = 8,256.20/x
  3. Step 3: Cross multiply
    12,229.52x = 16,885.14 × 8,256.20
  4. Step 4: Simplify right side
    12,229.52x = 139,407,092.87
  5. Step 5: Solve for x
    x = 139,407,092.87/12,229.52
  6. Step 6: Final answer
    x = 11,399.23

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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.