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Finding the Fourth Proportional to 23,843.43, 35,765.19 and 8,261.07

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Solution

The fourth proportional to 23,843.43, 35,765.19 and 8,261.07 is: 12,391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.43 : 35,765.19 = 8,261.07 : x
  2. Step 2: Convert to fraction form
    23,843.43/35,765.19 = 8,261.07/x
  3. Step 3: Cross multiply
    23,843.43x = 35,765.19 × 8,261.07
  4. Step 4: Simplify right side
    23,843.43x = 295,458,738.15
  5. Step 5: Solve for x
    x = 295,458,738.15/23,843.43
  6. Step 6: Final answer
    x = 12,391.62

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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.