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Finding the Fourth Proportional to 24,738.20, 37,112.49 and 8,096.93

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Solution

The fourth proportional to 24,738.20, 37,112.49 and 8,096.93 is: 12,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.20 : 37,112.49 = 8,096.93 : x
  2. Step 2: Convert to fraction form
    24,738.20/37,112.49 = 8,096.93/x
  3. Step 3: Cross multiply
    24,738.20x = 37,112.49 × 8,096.93
  4. Step 4: Simplify right side
    24,738.20x = 300,497,233.66
  5. Step 5: Solve for x
    x = 300,497,233.66/24,738.20
  6. Step 6: Final answer
    x = 12,147.10

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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.