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Finding the Fourth Proportional to 12,229.27, 18,336.49 and 6,674.89

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Solution

The fourth proportional to 12,229.27, 18,336.49 and 6,674.89 is: 10,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.27 : 18,336.49 = 6,674.89 : x
  2. Step 2: Convert to fraction form
    12,229.27/18,336.49 = 6,674.89/x
  3. Step 3: Cross multiply
    12,229.27x = 18,336.49 × 6,674.89
  4. Step 4: Simplify right side
    12,229.27x = 122,394,053.74
  5. Step 5: Solve for x
    x = 122,394,053.74/12,229.27
  6. Step 6: Final answer
    x = 10,008.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.