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Finding the Fourth Proportional to 16,183.53, 24,302.03 and 12,234.78

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Solution

The fourth proportional to 16,183.53, 24,302.03 and 12,234.78 is: 18,372.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.53 : 24,302.03 = 12,234.78 : x
  2. Step 2: Convert to fraction form
    16,183.53/24,302.03 = 12,234.78/x
  3. Step 3: Cross multiply
    16,183.53x = 24,302.03 × 12,234.78
  4. Step 4: Simplify right side
    16,183.53x = 297,329,929.43
  5. Step 5: Solve for x
    x = 297,329,929.43/16,183.53
  6. Step 6: Final answer
    x = 18,372.38

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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.