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Finding the Fourth Proportional to 20,645.80, 30,973.02 and 6,793

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Solution

The fourth proportional to 20,645.80, 30,973.02 and 6,793 is: 10,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.80 : 30,973.02 = 6,793 : x
  2. Step 2: Convert to fraction form
    20,645.80/30,973.02 = 6,793/x
  3. Step 3: Cross multiply
    20,645.80x = 30,973.02 × 6,793
  4. Step 4: Simplify right side
    20,645.80x = 210,399,724.86
  5. Step 5: Solve for x
    x = 210,399,724.86/20,645.80
  6. Step 6: Final answer
    x = 10,190.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.