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Finding the Fourth Proportional to 24,811.28, 37,209.52 and 8,168.24

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Solution

The fourth proportional to 24,811.28, 37,209.52 and 8,168.24 is: 12,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.28 : 37,209.52 = 8,168.24 : x
  2. Step 2: Convert to fraction form
    24,811.28/37,209.52 = 8,168.24/x
  3. Step 3: Cross multiply
    24,811.28x = 37,209.52 × 8,168.24
  4. Step 4: Simplify right side
    24,811.28x = 303,936,289.64
  5. Step 5: Solve for x
    x = 303,936,289.64/24,811.28
  6. Step 6: Final answer
    x = 12,249.92

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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.