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Finding the Fourth Proportional to 24,481.20, 33,782.00 and 13,578.68

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Solution

The fourth proportional to 24,481.20, 33,782.00 and 13,578.68 is: 18,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,481.20 : 33,782.00 = 13,578.68 : x
  2. Step 2: Convert to fraction form
    24,481.20/33,782.00 = 13,578.68/x
  3. Step 3: Cross multiply
    24,481.20x = 33,782.00 × 13,578.68
  4. Step 4: Simplify right side
    24,481.20x = 458,714,730.96
  5. Step 5: Solve for x
    x = 458,714,730.96/24,481.20
  6. Step 6: Final answer
    x = 18,737.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.