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Finding the Fourth Proportional to 20,209.75, 30,318.02 and 9,116.20

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Solution

The fourth proportional to 20,209.75, 30,318.02 and 9,116.20 is: 13,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.75 : 30,318.02 = 9,116.20 : x
  2. Step 2: Convert to fraction form
    20,209.75/30,318.02 = 9,116.20/x
  3. Step 3: Cross multiply
    20,209.75x = 30,318.02 × 9,116.20
  4. Step 4: Simplify right side
    20,209.75x = 276,385,133.92
  5. Step 5: Solve for x
    x = 276,385,133.92/20,209.75
  6. Step 6: Final answer
    x = 13,675.83

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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.