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Finding the Fourth Proportional to 22,096.96, 33,141.12 and 8,243.20

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Solution

The fourth proportional to 22,096.96, 33,141.12 and 8,243.20 is: 12,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.96 : 33,141.12 = 8,243.20 : x
  2. Step 2: Convert to fraction form
    22,096.96/33,141.12 = 8,243.20/x
  3. Step 3: Cross multiply
    22,096.96x = 33,141.12 × 8,243.20
  4. Step 4: Simplify right side
    22,096.96x = 273,188,880.38
  5. Step 5: Solve for x
    x = 273,188,880.38/22,096.96
  6. Step 6: Final answer
    x = 12,363.19

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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.