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Finding the Fourth Proportional to 20,818.50, 31,228.14 and 6,778.47

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Solution

The fourth proportional to 20,818.50, 31,228.14 and 6,778.47 is: 10,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818.50 : 31,228.14 = 6,778.47 : x
  2. Step 2: Convert to fraction form
    20,818.50/31,228.14 = 6,778.47/x
  3. Step 3: Cross multiply
    20,818.50x = 31,228.14 × 6,778.47
  4. Step 4: Simplify right side
    20,818.50x = 211,679,010.15
  5. Step 5: Solve for x
    x = 211,679,010.15/20,818.50
  6. Step 6: Final answer
    x = 10,167.83

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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.