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Finding the Fourth Proportional to 20,650.17, 30,964.28 and 8,169.69

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Solution

The fourth proportional to 20,650.17, 30,964.28 and 8,169.69 is: 12,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650.17 : 30,964.28 = 8,169.69 : x
  2. Step 2: Convert to fraction form
    20,650.17/30,964.28 = 8,169.69/x
  3. Step 3: Cross multiply
    20,650.17x = 30,964.28 × 8,169.69
  4. Step 4: Simplify right side
    20,650.17x = 252,968,527.82
  5. Step 5: Solve for x
    x = 252,968,527.82/20,650.17
  6. Step 6: Final answer
    x = 12,250.19

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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.