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Finding the Fourth Proportional to 22,057.20, 33,067.19 and 9,567.82

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Solution

The fourth proportional to 22,057.20, 33,067.19 and 9,567.82 is: 14,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.20 : 33,067.19 = 9,567.82 : x
  2. Step 2: Convert to fraction form
    22,057.20/33,067.19 = 9,567.82/x
  3. Step 3: Cross multiply
    22,057.20x = 33,067.19 × 9,567.82
  4. Step 4: Simplify right side
    22,057.20x = 316,380,987.08
  5. Step 5: Solve for x
    x = 316,380,987.08/22,057.20
  6. Step 6: Final answer
    x = 14,343.66

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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.