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Finding the Fourth Proportional to 24,375.75, 33,638.54 and 13,197.75

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Solution

The fourth proportional to 24,375.75, 33,638.54 and 13,197.75 is: 18,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.75 : 33,638.54 = 13,197.75 : x
  2. Step 2: Convert to fraction form
    24,375.75/33,638.54 = 13,197.75/x
  3. Step 3: Cross multiply
    24,375.75x = 33,638.54 × 13,197.75
  4. Step 4: Simplify right side
    24,375.75x = 443,952,975.30
  5. Step 5: Solve for x
    x = 443,952,975.30/24,375.75
  6. Step 6: Final answer
    x = 18,212.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.