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Finding the Fourth Proportional to 13,793.42, 20,698.38 and 6,400.44

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Solution

The fourth proportional to 13,793.42, 20,698.38 and 6,400.44 is: 9,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.42 : 20,698.38 = 6,400.44 : x
  2. Step 2: Convert to fraction form
    13,793.42/20,698.38 = 6,400.44/x
  3. Step 3: Cross multiply
    13,793.42x = 20,698.38 × 6,400.44
  4. Step 4: Simplify right side
    13,793.42x = 132,478,739.29
  5. Step 5: Solve for x
    x = 132,478,739.29/13,793.42
  6. Step 6: Final answer
    x = 9,604.49

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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.