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Finding the Fourth Proportional to 20,264.37, 30,380.15 and 7,778.02

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Solution

The fourth proportional to 20,264.37, 30,380.15 and 7,778.02 is: 11,660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.37 : 30,380.15 = 7,778.02 : x
  2. Step 2: Convert to fraction form
    20,264.37/30,380.15 = 7,778.02/x
  3. Step 3: Cross multiply
    20,264.37x = 30,380.15 × 7,778.02
  4. Step 4: Simplify right side
    20,264.37x = 236,297,357.80
  5. Step 5: Solve for x
    x = 236,297,357.80/20,264.37
  6. Step 6: Final answer
    x = 11,660.73

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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.