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Finding the Fourth Proportional to 22,456.74, 33,675.37 and 11,924.47

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Solution

The fourth proportional to 22,456.74, 33,675.37 and 11,924.47 is: 17,881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,456.74 : 33,675.37 = 11,924.47 : x
  2. Step 2: Convert to fraction form
    22,456.74/33,675.37 = 11,924.47/x
  3. Step 3: Cross multiply
    22,456.74x = 33,675.37 × 11,924.47
  4. Step 4: Simplify right side
    22,456.74x = 401,560,939.30
  5. Step 5: Solve for x
    x = 401,560,939.30/22,456.74
  6. Step 6: Final answer
    x = 17,881.53

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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.