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Finding the Fourth Proportional to 18,541.24, 27,812 and 6,229.24

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Solution

The fourth proportional to 18,541.24, 27,812 and 6,229.24 is: 9,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,541.24 : 27,812 = 6,229.24 : x
  2. Step 2: Convert to fraction form
    18,541.24/27,812 = 6,229.24/x
  3. Step 3: Cross multiply
    18,541.24x = 27,812 × 6,229.24
  4. Step 4: Simplify right side
    18,541.24x = 173,247,622.88
  5. Step 5: Solve for x
    x = 173,247,622.88/18,541.24
  6. Step 6: Final answer
    x = 9,343.91

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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.