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Finding the Fourth Proportional to 24,843.43, 37,257.23 and 8,200.35

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Solution

The fourth proportional to 24,843.43, 37,257.23 and 8,200.35 is: 12,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.43 : 37,257.23 = 8,200.35 : x
  2. Step 2: Convert to fraction form
    24,843.43/37,257.23 = 8,200.35/x
  3. Step 3: Cross multiply
    24,843.43x = 37,257.23 × 8,200.35
  4. Step 4: Simplify right side
    24,843.43x = 305,522,326.03
  5. Step 5: Solve for x
    x = 305,522,326.03/24,843.43
  6. Step 6: Final answer
    x = 12,297.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.