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Finding the Fourth Proportional to 20,137.80, 30,211.90 and 7,658.04

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Solution

The fourth proportional to 20,137.80, 30,211.90 and 7,658.04 is: 11,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.80 : 30,211.90 = 7,658.04 : x
  2. Step 2: Convert to fraction form
    20,137.80/30,211.90 = 7,658.04/x
  3. Step 3: Cross multiply
    20,137.80x = 30,211.90 × 7,658.04
  4. Step 4: Simplify right side
    20,137.80x = 231,363,938.68
  5. Step 5: Solve for x
    x = 231,363,938.68/20,137.80
  6. Step 6: Final answer
    x = 11,489.04

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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.