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Finding the Fourth Proportional to 18,669.54, 27,997.02 and 8,274

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Solution

The fourth proportional to 18,669.54, 27,997.02 and 8,274 is: 12,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,669.54 : 27,997.02 = 8,274 : x
  2. Step 2: Convert to fraction form
    18,669.54/27,997.02 = 8,274/x
  3. Step 3: Cross multiply
    18,669.54x = 27,997.02 × 8,274
  4. Step 4: Simplify right side
    18,669.54x = 231,647,343.48
  5. Step 5: Solve for x
    x = 231,647,343.48/18,669.54
  6. Step 6: Final answer
    x = 12,407.77

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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.