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Finding the Fourth Proportional to 22,858.97, 34,297.56 and 8,069.38

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Solution

The fourth proportional to 22,858.97, 34,297.56 and 8,069.38 is: 12,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.97 : 34,297.56 = 8,069.38 : x
  2. Step 2: Convert to fraction form
    22,858.97/34,297.56 = 8,069.38/x
  3. Step 3: Cross multiply
    22,858.97x = 34,297.56 × 8,069.38
  4. Step 4: Simplify right side
    22,858.97x = 276,759,958.97
  5. Step 5: Solve for x
    x = 276,759,958.97/22,858.97
  6. Step 6: Final answer
    x = 12,107.28

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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.