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Finding the Fourth Proportional to 20,605.20, 30,894.30 and 8,117.70

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Solution

The fourth proportional to 20,605.20, 30,894.30 and 8,117.70 is: 12,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.20 : 30,894.30 = 8,117.70 : x
  2. Step 2: Convert to fraction form
    20,605.20/30,894.30 = 8,117.70/x
  3. Step 3: Cross multiply
    20,605.20x = 30,894.30 × 8,117.70
  4. Step 4: Simplify right side
    20,605.20x = 250,790,659.11
  5. Step 5: Solve for x
    x = 250,790,659.11/20,605.20
  6. Step 6: Final answer
    x = 12,171.23

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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.