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Finding the Fourth Proportional to 16,544.67, 24,817.82 and 6,682.73

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Solution

The fourth proportional to 16,544.67, 24,817.82 and 6,682.73 is: 10,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.67 : 24,817.82 = 6,682.73 : x
  2. Step 2: Convert to fraction form
    16,544.67/24,817.82 = 6,682.73/x
  3. Step 3: Cross multiply
    16,544.67x = 24,817.82 × 6,682.73
  4. Step 4: Simplify right side
    16,544.67x = 165,850,632.75
  5. Step 5: Solve for x
    x = 165,850,632.75/16,544.67
  6. Step 6: Final answer
    x = 10,024.41

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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.