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Finding the Fourth Proportional to 24,327, 36,492.84 and 11,183.04

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Solution

The fourth proportional to 24,327, 36,492.84 and 11,183.04 is: 16,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327 : 36,492.84 = 11,183.04 : x
  2. Step 2: Convert to fraction form
    24,327/36,492.84 = 11,183.04/x
  3. Step 3: Cross multiply
    24,327x = 36,492.84 × 11,183.04
  4. Step 4: Simplify right side
    24,327x = 408,100,889.43
  5. Step 5: Solve for x
    x = 408,100,889.43/24,327
  6. Step 6: Final answer
    x = 16,775.64

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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.