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Finding the Fourth Proportional to 24,517.60, 36,747.60 and 12,824.80

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Solution

The fourth proportional to 24,517.60, 36,747.60 and 12,824.80 is: 19,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.60 : 36,747.60 = 12,824.80 : x
  2. Step 2: Convert to fraction form
    24,517.60/36,747.60 = 12,824.80/x
  3. Step 3: Cross multiply
    24,517.60x = 36,747.60 × 12,824.80
  4. Step 4: Simplify right side
    24,517.60x = 471,280,620.48
  5. Step 5: Solve for x
    x = 471,280,620.48/24,517.60
  6. Step 6: Final answer
    x = 19,222.14

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1.5x scale

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.