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Finding the Fourth Proportional to 23,144.54, 34,716.85 and 8,363.89

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Solution

The fourth proportional to 23,144.54, 34,716.85 and 8,363.89 is: 12,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144.54 : 34,716.85 = 8,363.89 : x
  2. Step 2: Convert to fraction form
    23,144.54/34,716.85 = 8,363.89/x
  3. Step 3: Cross multiply
    23,144.54x = 34,716.85 × 8,363.89
  4. Step 4: Simplify right side
    23,144.54x = 290,367,984.08
  5. Step 5: Solve for x
    x = 290,367,984.08/23,144.54
  6. Step 6: Final answer
    x = 12,545.86

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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.