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Finding the Fourth Proportional to 21,793.13, 32,694.55 and 7,942.13

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Solution

The fourth proportional to 21,793.13, 32,694.55 and 7,942.13 is: 11,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,793.13 : 32,694.55 = 7,942.13 : x
  2. Step 2: Convert to fraction form
    21,793.13/32,694.55 = 7,942.13/x
  3. Step 3: Cross multiply
    21,793.13x = 32,694.55 × 7,942.13
  4. Step 4: Simplify right side
    21,793.13x = 259,664,202.92
  5. Step 5: Solve for x
    x = 259,664,202.92/21,793.13
  6. Step 6: Final answer
    x = 11,914.96

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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.