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Finding the Fourth Proportional to 18,541.50, 27,812.49 and 6,229.50

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Solution

The fourth proportional to 18,541.50, 27,812.49 and 6,229.50 is: 9,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,541.50 : 27,812.49 = 6,229.50 : x
  2. Step 2: Convert to fraction form
    18,541.50/27,812.49 = 6,229.50/x
  3. Step 3: Cross multiply
    18,541.50x = 27,812.49 × 6,229.50
  4. Step 4: Simplify right side
    18,541.50x = 173,257,906.46
  5. Step 5: Solve for x
    x = 173,257,906.46/18,541.50
  6. Step 6: Final answer
    x = 9,344.33

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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.