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Finding the Fourth Proportional to 22,183.97, 33,267.24 and 9,031.59

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Solution

The fourth proportional to 22,183.97, 33,267.24 and 9,031.59 is: 13,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,183.97 : 33,267.24 = 9,031.59 : x
  2. Step 2: Convert to fraction form
    22,183.97/33,267.24 = 9,031.59/x
  3. Step 3: Cross multiply
    22,183.97x = 33,267.24 × 9,031.59
  4. Step 4: Simplify right side
    22,183.97x = 300,456,072.11
  5. Step 5: Solve for x
    x = 300,456,072.11/22,183.97
  6. Step 6: Final answer
    x = 13,543.84

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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.