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Finding the Fourth Proportional to 24,489.06, 36,723.06 and 7,843.56

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Solution

The fourth proportional to 24,489.06, 36,723.06 and 7,843.56 is: 11,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489.06 : 36,723.06 = 7,843.56 : x
  2. Step 2: Convert to fraction form
    24,489.06/36,723.06 = 7,843.56/x
  3. Step 3: Cross multiply
    24,489.06x = 36,723.06 × 7,843.56
  4. Step 4: Simplify right side
    24,489.06x = 288,039,524.49
  5. Step 5: Solve for x
    x = 288,039,524.49/24,489.06
  6. Step 6: Final answer
    x = 11,761.97

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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.