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Finding the Fourth Proportional to 11,192.38, 16,752.05 and 8,230.04

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Solution

The fourth proportional to 11,192.38, 16,752.05 and 8,230.04 is: 12,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.38 : 16,752.05 = 8,230.04 : x
  2. Step 2: Convert to fraction form
    11,192.38/16,752.05 = 8,230.04/x
  3. Step 3: Cross multiply
    11,192.38x = 16,752.05 × 8,230.04
  4. Step 4: Simplify right side
    11,192.38x = 137,870,010.35
  5. Step 5: Solve for x
    x = 137,870,010.35/11,192.38
  6. Step 6: Final answer
    x = 12,318.21

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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.