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Finding the Fourth Proportional to 22,165.22, 30,591.96 and 13,213.30

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Solution

The fourth proportional to 22,165.22, 30,591.96 and 13,213.30 is: 18,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.22 : 30,591.96 = 13,213.30 : x
  2. Step 2: Convert to fraction form
    22,165.22/30,591.96 = 13,213.30/x
  3. Step 3: Cross multiply
    22,165.22x = 30,591.96 × 13,213.30
  4. Step 4: Simplify right side
    22,165.22x = 404,220,745.07
  5. Step 5: Solve for x
    x = 404,220,745.07/22,165.22
  6. Step 6: Final answer
    x = 18,236.71

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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.