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Finding the Fourth Proportional to 27,993.36, 41,981.38 and 9,269.52

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Solution

The fourth proportional to 27,993.36, 41,981.38 and 9,269.52 is: 13,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993.36 : 41,981.38 = 9,269.52 : x
  2. Step 2: Convert to fraction form
    27,993.36/41,981.38 = 9,269.52/x
  3. Step 3: Cross multiply
    27,993.36x = 41,981.38 × 9,269.52
  4. Step 4: Simplify right side
    27,993.36x = 389,147,241.54
  5. Step 5: Solve for x
    x = 389,147,241.54/27,993.36
  6. Step 6: Final answer
    x = 13,901.41

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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.