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Finding the Fourth Proportional to 20,517.74, 30,764.29 and 8,022.87

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Solution

The fourth proportional to 20,517.74, 30,764.29 and 8,022.87 is: 12,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.74 : 30,764.29 = 8,022.87 : x
  2. Step 2: Convert to fraction form
    20,517.74/30,764.29 = 8,022.87/x
  3. Step 3: Cross multiply
    20,517.74x = 30,764.29 × 8,022.87
  4. Step 4: Simplify right side
    20,517.74x = 246,817,899.31
  5. Step 5: Solve for x
    x = 246,817,899.31/20,517.74
  6. Step 6: Final answer
    x = 12,029.49

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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.