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Finding the Fourth Proportional to 16,344, 24,441.24 and 12,186.84

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Solution

The fourth proportional to 16,344, 24,441.24 and 12,186.84 is: 18,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344 : 24,441.24 = 12,186.84 : x
  2. Step 2: Convert to fraction form
    16,344/24,441.24 = 12,186.84/x
  3. Step 3: Cross multiply
    16,344x = 24,441.24 × 12,186.84
  4. Step 4: Simplify right side
    16,344x = 297,861,481.28
  5. Step 5: Solve for x
    x = 297,861,481.28/16,344
  6. Step 6: Final answer
    x = 18,224.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.