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Finding the Fourth Proportional to 22,329.64, 33,494.44 and 6,747.24

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Solution

The fourth proportional to 22,329.64, 33,494.44 and 6,747.24 is: 10,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,329.64 : 33,494.44 = 6,747.24 : x
  2. Step 2: Convert to fraction form
    22,329.64/33,494.44 = 6,747.24/x
  3. Step 3: Cross multiply
    22,329.64x = 33,494.44 × 6,747.24
  4. Step 4: Simplify right side
    22,329.64x = 225,995,025.35
  5. Step 5: Solve for x
    x = 225,995,025.35/22,329.64
  6. Step 6: Final answer
    x = 10,120.85

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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.