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Finding the Fourth Proportional to 22,381.54, 33,578.80 and 9,231.46

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Solution

The fourth proportional to 22,381.54, 33,578.80 and 9,231.46 is: 13,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.54 : 33,578.80 = 9,231.46 : x
  2. Step 2: Convert to fraction form
    22,381.54/33,578.80 = 9,231.46/x
  3. Step 3: Cross multiply
    22,381.54x = 33,578.80 × 9,231.46
  4. Step 4: Simplify right side
    22,381.54x = 309,981,349.05
  5. Step 5: Solve for x
    x = 309,981,349.05/22,381.54
  6. Step 6: Final answer
    x = 13,849.87

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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.