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Finding the Fourth Proportional to 22,731.36, 34,105.25 and 11,643.27

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Solution

The fourth proportional to 22,731.36, 34,105.25 and 11,643.27 is: 17,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.36 : 34,105.25 = 11,643.27 : x
  2. Step 2: Convert to fraction form
    22,731.36/34,105.25 = 11,643.27/x
  3. Step 3: Cross multiply
    22,731.36x = 34,105.25 × 11,643.27
  4. Step 4: Simplify right side
    22,731.36x = 397,096,634.17
  5. Step 5: Solve for x
    x = 397,096,634.17/22,731.36
  6. Step 6: Final answer
    x = 17,469.11

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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.