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Finding the Fourth Proportional to 12,227.52, 16,882.38 and 8,254.20

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Solution

The fourth proportional to 12,227.52, 16,882.38 and 8,254.20 is: 11,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.52 : 16,882.38 = 8,254.20 : x
  2. Step 2: Convert to fraction form
    12,227.52/16,882.38 = 8,254.20/x
  3. Step 3: Cross multiply
    12,227.52x = 16,882.38 × 8,254.20
  4. Step 4: Simplify right side
    12,227.52x = 139,350,541.00
  5. Step 5: Solve for x
    x = 139,350,541.00/12,227.52
  6. Step 6: Final answer
    x = 11,396.47

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Why These Related Problems?

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