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Finding the Fourth Proportional to 18,099.78, 27,139.89 and 5,614.50

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Solution

The fourth proportional to 18,099.78, 27,139.89 and 5,614.50 is: 8,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,099.78 : 27,139.89 = 5,614.50 : x
  2. Step 2: Convert to fraction form
    18,099.78/27,139.89 = 5,614.50/x
  3. Step 3: Cross multiply
    18,099.78x = 27,139.89 × 5,614.50
  4. Step 4: Simplify right side
    18,099.78x = 152,376,912.41
  5. Step 5: Solve for x
    x = 152,376,912.41/18,099.78
  6. Step 6: Final answer
    x = 8,418.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.