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Finding the Fourth Proportional to 22,082.43, 33,118.93 and 7,287.87

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Solution

The fourth proportional to 22,082.43, 33,118.93 and 7,287.87 is: 10,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.43 : 33,118.93 = 7,287.87 : x
  2. Step 2: Convert to fraction form
    22,082.43/33,118.93 = 7,287.87/x
  3. Step 3: Cross multiply
    22,082.43x = 33,118.93 × 7,287.87
  4. Step 4: Simplify right side
    22,082.43x = 241,366,456.38
  5. Step 5: Solve for x
    x = 241,366,456.38/22,082.43
  6. Step 6: Final answer
    x = 10,930.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.