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Finding the Fourth Proportional to 11,997.05, 18,001.64 and 8,093.25

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Solution

The fourth proportional to 11,997.05, 18,001.64 and 8,093.25 is: 12,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.05 : 18,001.64 = 8,093.25 : x
  2. Step 2: Convert to fraction form
    11,997.05/18,001.64 = 8,093.25/x
  3. Step 3: Cross multiply
    11,997.05x = 18,001.64 × 8,093.25
  4. Step 4: Simplify right side
    11,997.05x = 145,691,793.16
  5. Step 5: Solve for x
    x = 145,691,793.16/11,997.05
  6. Step 6: Final answer
    x = 12,143.97

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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.