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Finding the Fourth Proportional to 20,421.80, 30,634.60 and 7,942.78

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Solution

The fourth proportional to 20,421.80, 30,634.60 and 7,942.78 is: 11,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421.80 : 30,634.60 = 7,942.78 : x
  2. Step 2: Convert to fraction form
    20,421.80/30,634.60 = 7,942.78/x
  3. Step 3: Cross multiply
    20,421.80x = 30,634.60 × 7,942.78
  4. Step 4: Simplify right side
    20,421.80x = 243,323,726.86
  5. Step 5: Solve for x
    x = 243,323,726.86/20,421.80
  6. Step 6: Final answer
    x = 11,914.90

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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.