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Finding the Fourth Proportional to 12,227.52, 16,874.64 and 6,922.56

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Solution

The fourth proportional to 12,227.52, 16,874.64 and 6,922.56 is: 9,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.52 : 16,874.64 = 6,922.56 : x
  2. Step 2: Convert to fraction form
    12,227.52/16,874.64 = 6,922.56/x
  3. Step 3: Cross multiply
    12,227.52x = 16,874.64 × 6,922.56
  4. Step 4: Simplify right side
    12,227.52x = 116,815,707.88
  5. Step 5: Solve for x
    x = 116,815,707.88/12,227.52
  6. Step 6: Final answer
    x = 9,553.51

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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.