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Finding the Fourth Proportional to 26,817.70, 40,232.22 and 8,099.14

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Solution

The fourth proportional to 26,817.70, 40,232.22 and 8,099.14 is: 12,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,817.70 : 40,232.22 = 8,099.14 : x
  2. Step 2: Convert to fraction form
    26,817.70/40,232.22 = 8,099.14/x
  3. Step 3: Cross multiply
    26,817.70x = 40,232.22 × 8,099.14
  4. Step 4: Simplify right side
    26,817.70x = 325,846,382.29
  5. Step 5: Solve for x
    x = 325,846,382.29/26,817.70
  6. Step 6: Final answer
    x = 12,150.42

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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.