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Finding the Fourth Proportional to 22,057.64, 33,067.85 and 9,568.26

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Solution

The fourth proportional to 22,057.64, 33,067.85 and 9,568.26 is: 14,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.64 : 33,067.85 = 9,568.26 : x
  2. Step 2: Convert to fraction form
    22,057.64/33,067.85 = 9,568.26/x
  3. Step 3: Cross multiply
    22,057.64x = 33,067.85 × 9,568.26
  4. Step 4: Simplify right side
    22,057.64x = 316,401,786.44
  5. Step 5: Solve for x
    x = 316,401,786.44/22,057.64
  6. Step 6: Final answer
    x = 14,344.32

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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.