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Finding the Fourth Proportional to 20,793.03, 31,205.92 and 9,694

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Solution

The fourth proportional to 20,793.03, 31,205.92 and 9,694 is: 14,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.03 : 31,205.92 = 9,694 : x
  2. Step 2: Convert to fraction form
    20,793.03/31,205.92 = 9,694/x
  3. Step 3: Cross multiply
    20,793.03x = 31,205.92 × 9,694
  4. Step 4: Simplify right side
    20,793.03x = 302,510,188.48
  5. Step 5: Solve for x
    x = 302,510,188.48/20,793.03
  6. Step 6: Final answer
    x = 14,548.64

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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.