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Finding the Fourth Proportional to 27,424.12, 37,837.22 and 18,481.72

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Solution

The fourth proportional to 27,424.12, 37,837.22 and 18,481.72 is: 25,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.12 : 37,837.22 = 18,481.72 : x
  2. Step 2: Convert to fraction form
    27,424.12/37,837.22 = 18,481.72/x
  3. Step 3: Cross multiply
    27,424.12x = 37,837.22 × 18,481.72
  4. Step 4: Simplify right side
    27,424.12x = 699,296,905.62
  5. Step 5: Solve for x
    x = 699,296,905.62/27,424.12
  6. Step 6: Final answer
    x = 25,499.34

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Why These Related Problems?

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