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Finding the Fourth Proportional to 15,912.97, 21,958.23 and 9,198.07

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Solution

The fourth proportional to 15,912.97, 21,958.23 and 9,198.07 is: 12,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,912.97 : 21,958.23 = 9,198.07 : x
  2. Step 2: Convert to fraction form
    15,912.97/21,958.23 = 9,198.07/x
  3. Step 3: Cross multiply
    15,912.97x = 21,958.23 × 9,198.07
  4. Step 4: Simplify right side
    15,912.97x = 201,973,336.62
  5. Step 5: Solve for x
    x = 201,973,336.62/15,912.97
  6. Step 6: Final answer
    x = 12,692.37

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