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Finding the Fourth Proportional to 22,132.64, 33,202.24 and 7,338.30

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Solution

The fourth proportional to 22,132.64, 33,202.24 and 7,338.30 is: 11,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,132.64 : 33,202.24 = 7,338.30 : x
  2. Step 2: Convert to fraction form
    22,132.64/33,202.24 = 7,338.30/x
  3. Step 3: Cross multiply
    22,132.64x = 33,202.24 × 7,338.30
  4. Step 4: Simplify right side
    22,132.64x = 243,647,854.94
  5. Step 5: Solve for x
    x = 243,647,854.94/22,132.64
  6. Step 6: Final answer
    x = 11,008.53

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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.