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Finding the Fourth Proportional to 26,814.70, 40,227.72 and 8,096.14

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Solution

The fourth proportional to 26,814.70, 40,227.72 and 8,096.14 is: 12,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,814.70 : 40,227.72 = 8,096.14 : x
  2. Step 2: Convert to fraction form
    26,814.70/40,227.72 = 8,096.14/x
  3. Step 3: Cross multiply
    26,814.70x = 40,227.72 × 8,096.14
  4. Step 4: Simplify right side
    26,814.70x = 325,689,253.00
  5. Step 5: Solve for x
    x = 325,689,253.00/26,814.70
  6. Step 6: Final answer
    x = 12,145.92

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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.