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Finding the Fourth Proportional to 20,550.74, 30,826.24 and 6,699.74

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Solution

The fourth proportional to 20,550.74, 30,826.24 and 6,699.74 is: 10,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,550.74 : 30,826.24 = 6,699.74 : x
  2. Step 2: Convert to fraction form
    20,550.74/30,826.24 = 6,699.74/x
  3. Step 3: Cross multiply
    20,550.74x = 30,826.24 × 6,699.74
  4. Step 4: Simplify right side
    20,550.74x = 206,527,793.18
  5. Step 5: Solve for x
    x = 206,527,793.18/20,550.74
  6. Step 6: Final answer
    x = 10,049.65

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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.