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Finding the Fourth Proportional to 23,960.40, 35,944.92 and 8,164.56

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Solution

The fourth proportional to 23,960.40, 35,944.92 and 8,164.56 is: 12,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,960.40 : 35,944.92 = 8,164.56 : x
  2. Step 2: Convert to fraction form
    23,960.40/35,944.92 = 8,164.56/x
  3. Step 3: Cross multiply
    23,960.40x = 35,944.92 × 8,164.56
  4. Step 4: Simplify right side
    23,960.40x = 293,474,321.24
  5. Step 5: Solve for x
    x = 293,474,321.24/23,960.40
  6. Step 6: Final answer
    x = 12,248.31

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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.