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Finding the Fourth Proportional to 12,164.53, 18,211.24 and 10,997.22

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Solution

The fourth proportional to 12,164.53, 18,211.24 and 10,997.22 is: 16,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.53 : 18,211.24 = 10,997.22 : x
  2. Step 2: Convert to fraction form
    12,164.53/18,211.24 = 10,997.22/x
  3. Step 3: Cross multiply
    12,164.53x = 18,211.24 × 10,997.22
  4. Step 4: Simplify right side
    12,164.53x = 200,273,012.75
  5. Step 5: Solve for x
    x = 200,273,012.75/12,164.53
  6. Step 6: Final answer
    x = 16,463.69

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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.