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Finding the Fourth Proportional to 20,099.73, 30,147.46 and 8,254.75

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Solution

The fourth proportional to 20,099.73, 30,147.46 and 8,254.75 is: 12,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.73 : 30,147.46 = 8,254.75 : x
  2. Step 2: Convert to fraction form
    20,099.73/30,147.46 = 8,254.75/x
  3. Step 3: Cross multiply
    20,099.73x = 30,147.46 × 8,254.75
  4. Step 4: Simplify right side
    20,099.73x = 248,859,745.44
  5. Step 5: Solve for x
    x = 248,859,745.44/20,099.73
  6. Step 6: Final answer
    x = 12,381.25

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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.