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Finding the Fourth Proportional to 12,227.74, 16,874.31 and 6,638.62

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Solution

The fourth proportional to 12,227.74, 16,874.31 and 6,638.62 is: 9,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.74 : 16,874.31 = 6,638.62 : x
  2. Step 2: Convert to fraction form
    12,227.74/16,874.31 = 6,638.62/x
  3. Step 3: Cross multiply
    12,227.74x = 16,874.31 × 6,638.62
  4. Step 4: Simplify right side
    12,227.74x = 112,022,131.85
  5. Step 5: Solve for x
    x = 112,022,131.85/12,227.74
  6. Step 6: Final answer
    x = 9,161.31

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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.