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Finding the Fourth Proportional to 23,847.98, 35,778.34 and 8,265.60

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Solution

The fourth proportional to 23,847.98, 35,778.34 and 8,265.60 is: 12,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.98 : 35,778.34 = 8,265.60 : x
  2. Step 2: Convert to fraction form
    23,847.98/35,778.34 = 8,265.60/x
  3. Step 3: Cross multiply
    23,847.98x = 35,778.34 × 8,265.60
  4. Step 4: Simplify right side
    23,847.98x = 295,729,447.10
  5. Step 5: Solve for x
    x = 295,729,447.10/23,847.98
  6. Step 6: Final answer
    x = 12,400.61

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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.