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Finding the Fourth Proportional to 27,324.29, 40,976.55 and 9,549.96

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Solution

The fourth proportional to 27,324.29, 40,976.55 and 9,549.96 is: 14,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324.29 : 40,976.55 = 9,549.96 : x
  2. Step 2: Convert to fraction form
    27,324.29/40,976.55 = 9,549.96/x
  3. Step 3: Cross multiply
    27,324.29x = 40,976.55 × 9,549.96
  4. Step 4: Simplify right side
    27,324.29x = 391,324,413.44
  5. Step 5: Solve for x
    x = 391,324,413.44/27,324.29
  6. Step 6: Final answer
    x = 14,321.49

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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.