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Finding the Fourth Proportional to 20,311.86, 30,467.79 and 8,634.90

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Solution

The fourth proportional to 20,311.86, 30,467.79 and 8,634.90 is: 12,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,311.86 : 30,467.79 = 8,634.90 : x
  2. Step 2: Convert to fraction form
    20,311.86/30,467.79 = 8,634.90/x
  3. Step 3: Cross multiply
    20,311.86x = 30,467.79 × 8,634.90
  4. Step 4: Simplify right side
    20,311.86x = 263,086,319.87
  5. Step 5: Solve for x
    x = 263,086,319.87/20,311.86
  6. Step 6: Final answer
    x = 12,952.35

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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.