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Finding the Fourth Proportional to 12,233.74, 16,882.11 and 6,644.62

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Solution

The fourth proportional to 12,233.74, 16,882.11 and 6,644.62 is: 9,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.74 : 16,882.11 = 6,644.62 : x
  2. Step 2: Convert to fraction form
    12,233.74/16,882.11 = 6,644.62/x
  3. Step 3: Cross multiply
    12,233.74x = 16,882.11 × 6,644.62
  4. Step 4: Simplify right side
    12,233.74x = 112,175,205.75
  5. Step 5: Solve for x
    x = 112,175,205.75/12,233.74
  6. Step 6: Final answer
    x = 9,169.33

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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.