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Finding the Fourth Proportional to 18,626.14, 27,938.58 and 8,096.16

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Solution

The fourth proportional to 18,626.14, 27,938.58 and 8,096.16 is: 12,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,626.14 : 27,938.58 = 8,096.16 : x
  2. Step 2: Convert to fraction form
    18,626.14/27,938.58 = 8,096.16/x
  3. Step 3: Cross multiply
    18,626.14x = 27,938.58 × 8,096.16
  4. Step 4: Simplify right side
    18,626.14x = 226,195,213.85
  5. Step 5: Solve for x
    x = 226,195,213.85/18,626.14
  6. Step 6: Final answer
    x = 12,143.97

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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.