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Finding the Fourth Proportional to 12,171.17, 18,266.00 and 8,213.05

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Solution

The fourth proportional to 12,171.17, 18,266.00 and 8,213.05 is: 12,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.17 : 18,266.00 = 8,213.05 : x
  2. Step 2: Convert to fraction form
    12,171.17/18,266.00 = 8,213.05/x
  3. Step 3: Cross multiply
    12,171.17x = 18,266.00 × 8,213.05
  4. Step 4: Simplify right side
    12,171.17x = 150,019,553.07
  5. Step 5: Solve for x
    x = 150,019,553.07/12,171.17
  6. Step 6: Final answer
    x = 12,325.81

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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.