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Finding the Fourth Proportional to 23,257.86, 34,896.11 and 8,467.80

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Solution

The fourth proportional to 23,257.86, 34,896.11 and 8,467.80 is: 12,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.86 : 34,896.11 = 8,467.80 : x
  2. Step 2: Convert to fraction form
    23,257.86/34,896.11 = 8,467.80/x
  3. Step 3: Cross multiply
    23,257.86x = 34,896.11 × 8,467.80
  4. Step 4: Simplify right side
    23,257.86x = 295,493,237.92
  5. Step 5: Solve for x
    x = 295,493,237.92/23,257.86
  6. Step 6: Final answer
    x = 12,705.09

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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.