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Finding the Fourth Proportional to 22,486.14, 33,729.75 and 7,694.96

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Solution

The fourth proportional to 22,486.14, 33,729.75 and 7,694.96 is: 11,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.14 : 33,729.75 = 7,694.96 : x
  2. Step 2: Convert to fraction form
    22,486.14/33,729.75 = 7,694.96/x
  3. Step 3: Cross multiply
    22,486.14x = 33,729.75 × 7,694.96
  4. Step 4: Simplify right side
    22,486.14x = 259,548,908.41
  5. Step 5: Solve for x
    x = 259,548,908.41/22,486.14
  6. Step 6: Final answer
    x = 11,542.62

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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.