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Finding the Fourth Proportional to 24,375.96, 36,505.50 and 13,255.05

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Solution

The fourth proportional to 24,375.96, 36,505.50 and 13,255.05 is: 19,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.96 : 36,505.50 = 13,255.05 : x
  2. Step 2: Convert to fraction form
    24,375.96/36,505.50 = 13,255.05/x
  3. Step 3: Cross multiply
    24,375.96x = 36,505.50 × 13,255.05
  4. Step 4: Simplify right side
    24,375.96x = 483,882,227.78
  5. Step 5: Solve for x
    x = 483,882,227.78/24,375.96
  6. Step 6: Final answer
    x = 19,850.80

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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.