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Finding the Fourth Proportional to 23,850.98, 35,782.84 and 8,268.60

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Solution

The fourth proportional to 23,850.98, 35,782.84 and 8,268.60 is: 12,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850.98 : 35,782.84 = 8,268.60 : x
  2. Step 2: Convert to fraction form
    23,850.98/35,782.84 = 8,268.60/x
  3. Step 3: Cross multiply
    23,850.98x = 35,782.84 × 8,268.60
  4. Step 4: Simplify right side
    23,850.98x = 295,873,990.82
  5. Step 5: Solve for x
    x = 295,873,990.82/23,850.98
  6. Step 6: Final answer
    x = 12,405.11

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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.