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Finding the Fourth Proportional to 18,423.24, 27,640.25 and 5,942.99

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Solution

The fourth proportional to 18,423.24, 27,640.25 and 5,942.99 is: 8,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,423.24 : 27,640.25 = 5,942.99 : x
  2. Step 2: Convert to fraction form
    18,423.24/27,640.25 = 5,942.99/x
  3. Step 3: Cross multiply
    18,423.24x = 27,640.25 × 5,942.99
  4. Step 4: Simplify right side
    18,423.24x = 164,265,791.02
  5. Step 5: Solve for x
    x = 164,265,791.02/18,423.24
  6. Step 6: Final answer
    x = 8,916.23

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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.