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Finding the Fourth Proportional to 23,944.92, 35,917.35 and 6,414.27

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Solution

The fourth proportional to 23,944.92, 35,917.35 and 6,414.27 is: 9,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,944.92 : 35,917.35 = 6,414.27 : x
  2. Step 2: Convert to fraction form
    23,944.92/35,917.35 = 6,414.27/x
  3. Step 3: Cross multiply
    23,944.92x = 35,917.35 × 6,414.27
  4. Step 4: Simplify right side
    23,944.92x = 230,383,580.58
  5. Step 5: Solve for x
    x = 230,383,580.58/23,944.92
  6. Step 6: Final answer
    x = 9,621.40

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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.