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Finding the Fourth Proportional to 18,391.92, 27,589.50 and 5,244

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Solution

The fourth proportional to 18,391.92, 27,589.50 and 5,244 is: 7,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,391.92 : 27,589.50 = 5,244 : x
  2. Step 2: Convert to fraction form
    18,391.92/27,589.50 = 5,244/x
  3. Step 3: Cross multiply
    18,391.92x = 27,589.50 × 5,244
  4. Step 4: Simplify right side
    18,391.92x = 144,679,338
  5. Step 5: Solve for x
    x = 144,679,338/18,391.92
  6. Step 6: Final answer
    x = 7,866.46

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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.