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Finding the Fourth Proportional to 23,152.56, 34,728.78 and 8,361.48

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Solution

The fourth proportional to 23,152.56, 34,728.78 and 8,361.48 is: 12,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.56 : 34,728.78 = 8,361.48 : x
  2. Step 2: Convert to fraction form
    23,152.56/34,728.78 = 8,361.48/x
  3. Step 3: Cross multiply
    23,152.56x = 34,728.78 × 8,361.48
  4. Step 4: Simplify right side
    23,152.56x = 290,383,999.39
  5. Step 5: Solve for x
    x = 290,383,999.39/23,152.56
  6. Step 6: Final answer
    x = 12,542.20

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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.