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Finding the Fourth Proportional to 22,731.68, 34,099.28 and 7,940.24

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Solution

The fourth proportional to 22,731.68, 34,099.28 and 7,940.24 is: 11,910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.68 : 34,099.28 = 7,940.24 : x
  2. Step 2: Convert to fraction form
    22,731.68/34,099.28 = 7,940.24/x
  3. Step 3: Cross multiply
    22,731.68x = 34,099.28 × 7,940.24
  4. Step 4: Simplify right side
    22,731.68x = 270,756,467.03
  5. Step 5: Solve for x
    x = 270,756,467.03/22,731.68
  6. Step 6: Final answer
    x = 11,910.97

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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.