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Finding the Fourth Proportional to 12,170.20, 16,794.82 and 6,581.20

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Solution

The fourth proportional to 12,170.20, 16,794.82 and 6,581.20 is: 9,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.20 : 16,794.82 = 6,581.20 : x
  2. Step 2: Convert to fraction form
    12,170.20/16,794.82 = 6,581.20/x
  3. Step 3: Cross multiply
    12,170.20x = 16,794.82 × 6,581.20
  4. Step 4: Simplify right side
    12,170.20x = 110,530,069.38
  5. Step 5: Solve for x
    x = 110,530,069.38/12,170.20
  6. Step 6: Final answer
    x = 9,082.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.