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Finding the Fourth Proportional to 22,922.40, 34,340.40 and 11,791.20

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Solution

The fourth proportional to 22,922.40, 34,340.40 and 11,791.20 is: 17,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.40 : 34,340.40 = 11,791.20 : x
  2. Step 2: Convert to fraction form
    22,922.40/34,340.40 = 11,791.20/x
  3. Step 3: Cross multiply
    22,922.40x = 34,340.40 × 11,791.20
  4. Step 4: Simplify right side
    22,922.40x = 404,914,524.48
  5. Step 5: Solve for x
    x = 404,914,524.48/22,922.40
  6. Step 6: Final answer
    x = 17,664.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.