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Finding the Fourth Proportional to 16,546.50, 24,819.75 and 4,234.50

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Solution

The fourth proportional to 16,546.50, 24,819.75 and 4,234.50 is: 6,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.50 : 24,819.75 = 4,234.50 : x
  2. Step 2: Convert to fraction form
    16,546.50/24,819.75 = 4,234.50/x
  3. Step 3: Cross multiply
    16,546.50x = 24,819.75 × 4,234.50
  4. Step 4: Simplify right side
    16,546.50x = 105,099,231.38
  5. Step 5: Solve for x
    x = 105,099,231.38/16,546.50
  6. Step 6: Final answer
    x = 6,351.75

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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.