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Finding the Fourth Proportional to 16,183.83, 24,270.97 and 8,281.47

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Solution

The fourth proportional to 16,183.83, 24,270.97 and 8,281.47 is: 12,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.83 : 24,270.97 = 8,281.47 : x
  2. Step 2: Convert to fraction form
    16,183.83/24,270.97 = 8,281.47/x
  3. Step 3: Cross multiply
    16,183.83x = 24,270.97 × 8,281.47
  4. Step 4: Simplify right side
    16,183.83x = 200,999,349.90
  5. Step 5: Solve for x
    x = 200,999,349.90/16,183.83
  6. Step 6: Final answer
    x = 12,419.76

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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.