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Finding the Fourth Proportional to 17,177.20, 25,763.10 and 6,082.30

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Solution

The fourth proportional to 17,177.20, 25,763.10 and 6,082.30 is: 9,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,177.20 : 25,763.10 = 6,082.30 : x
  2. Step 2: Convert to fraction form
    17,177.20/25,763.10 = 6,082.30/x
  3. Step 3: Cross multiply
    17,177.20x = 25,763.10 × 6,082.30
  4. Step 4: Simplify right side
    17,177.20x = 156,698,903.13
  5. Step 5: Solve for x
    x = 156,698,903.13/17,177.20
  6. Step 6: Final answer
    x = 9,122.49

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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.