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Finding the Fourth Proportional to 22,517.22, 33,797.01 and 11,431.87

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Solution

The fourth proportional to 22,517.22, 33,797.01 and 11,431.87 is: 17,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.22 : 33,797.01 = 11,431.87 : x
  2. Step 2: Convert to fraction form
    22,517.22/33,797.01 = 11,431.87/x
  3. Step 3: Cross multiply
    22,517.22x = 33,797.01 × 11,431.87
  4. Step 4: Simplify right side
    22,517.22x = 386,362,983.09
  5. Step 5: Solve for x
    x = 386,362,983.09/22,517.22
  6. Step 6: Final answer
    x = 17,158.55

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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.