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Finding the Fourth Proportional to 20,651.17, 30,965.77 and 8,170.69

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Solution

The fourth proportional to 20,651.17, 30,965.77 and 8,170.69 is: 12,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.17 : 30,965.77 = 8,170.69 : x
  2. Step 2: Convert to fraction form
    20,651.17/30,965.77 = 8,170.69/x
  3. Step 3: Cross multiply
    20,651.17x = 30,965.77 × 8,170.69
  4. Step 4: Simplify right side
    20,651.17x = 253,011,707.28
  5. Step 5: Solve for x
    x = 253,011,707.28/20,651.17
  6. Step 6: Final answer
    x = 12,251.69

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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.