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Finding the Fourth Proportional to 22,183.20, 33,265.20 and 9,031.20

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Solution

The fourth proportional to 22,183.20, 33,265.20 and 9,031.20 is: 13,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,183.20 : 33,265.20 = 9,031.20 : x
  2. Step 2: Convert to fraction form
    22,183.20/33,265.20 = 9,031.20/x
  3. Step 3: Cross multiply
    22,183.20x = 33,265.20 × 9,031.20
  4. Step 4: Simplify right side
    22,183.20x = 300,424,674.24
  5. Step 5: Solve for x
    x = 300,424,674.24/22,183.20
  6. Step 6: Final answer
    x = 13,542.89

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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.