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Finding the Fourth Proportional to 23,174.48, 34,768.20 and 8,382.80

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Solution

The fourth proportional to 23,174.48, 34,768.20 and 8,382.80 is: 12,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.48 : 34,768.20 = 8,382.80 : x
  2. Step 2: Convert to fraction form
    23,174.48/34,768.20 = 8,382.80/x
  3. Step 3: Cross multiply
    23,174.48x = 34,768.20 × 8,382.80
  4. Step 4: Simplify right side
    23,174.48x = 291,454,866.96
  5. Step 5: Solve for x
    x = 291,454,866.96/23,174.48
  6. Step 6: Final answer
    x = 12,576.54

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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.