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Finding the Fourth Proportional to 22,633.28, 33,716.56 and 21,945.44

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Solution

The fourth proportional to 22,633.28, 33,716.56 and 21,945.44 is: 32,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.28 : 33,716.56 = 21,945.44 : x
  2. Step 2: Convert to fraction form
    22,633.28/33,716.56 = 21,945.44/x
  3. Step 3: Cross multiply
    22,633.28x = 33,716.56 × 21,945.44
  4. Step 4: Simplify right side
    22,633.28x = 739,924,744.49
  5. Step 5: Solve for x
    x = 739,924,744.49/22,633.28
  6. Step 6: Final answer
    x = 32,691.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.