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Finding the Fourth Proportional to 20,658.27, 30,975.06 and 8,180.04

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Solution

The fourth proportional to 20,658.27, 30,975.06 and 8,180.04 is: 12,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.27 : 30,975.06 = 8,180.04 : x
  2. Step 2: Convert to fraction form
    20,658.27/30,975.06 = 8,180.04/x
  3. Step 3: Cross multiply
    20,658.27x = 30,975.06 × 8,180.04
  4. Step 4: Simplify right side
    20,658.27x = 253,377,229.80
  5. Step 5: Solve for x
    x = 253,377,229.80/20,658.27
  6. Step 6: Final answer
    x = 12,265.17

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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.