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Finding the Fourth Proportional to 23,728.92, 35,595.80 and 8,144.52

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Solution

The fourth proportional to 23,728.92, 35,595.80 and 8,144.52 is: 12,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.92 : 35,595.80 = 8,144.52 : x
  2. Step 2: Convert to fraction form
    23,728.92/35,595.80 = 8,144.52/x
  3. Step 3: Cross multiply
    23,728.92x = 35,595.80 × 8,144.52
  4. Step 4: Simplify right side
    23,728.92x = 289,910,705.02
  5. Step 5: Solve for x
    x = 289,910,705.02/23,728.92
  6. Step 6: Final answer
    x = 12,217.61

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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.