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Finding the Fourth Proportional to 22,517.96, 33,796.31 and 9,198.05

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Solution

The fourth proportional to 22,517.96, 33,796.31 and 9,198.05 is: 13,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.96 : 33,796.31 = 9,198.05 : x
  2. Step 2: Convert to fraction form
    22,517.96/33,796.31 = 9,198.05/x
  3. Step 3: Cross multiply
    22,517.96x = 33,796.31 × 9,198.05
  4. Step 4: Simplify right side
    22,517.96x = 310,859,934.22
  5. Step 5: Solve for x
    x = 310,859,934.22/22,517.96
  6. Step 6: Final answer
    x = 13,804.98

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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.