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Finding the Fourth Proportional to 24,481.44, 36,724.59 and 7,837.29

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Solution

The fourth proportional to 24,481.44, 36,724.59 and 7,837.29 is: 11,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,481.44 : 36,724.59 = 7,837.29 : x
  2. Step 2: Convert to fraction form
    24,481.44/36,724.59 = 7,837.29/x
  3. Step 3: Cross multiply
    24,481.44x = 36,724.59 × 7,837.29
  4. Step 4: Simplify right side
    24,481.44x = 287,821,261.96
  5. Step 5: Solve for x
    x = 287,821,261.96/24,481.44
  6. Step 6: Final answer
    x = 11,756.71

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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.