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Finding the Fourth Proportional to 23,546.38, 35,318.66 and 7,964.00

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Solution

The fourth proportional to 23,546.38, 35,318.66 and 7,964.00 is: 11,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.38 : 35,318.66 = 7,964.00 : x
  2. Step 2: Convert to fraction form
    23,546.38/35,318.66 = 7,964.00/x
  3. Step 3: Cross multiply
    23,546.38x = 35,318.66 × 7,964.00
  4. Step 4: Simplify right side
    23,546.38x = 281,277,856.72
  5. Step 5: Solve for x
    x = 281,277,856.72/23,546.38
  6. Step 6: Final answer
    x = 11,945.70

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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.