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Finding the Fourth Proportional to 27,462.84, 41,194.26 and 6,686.16

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Solution

The fourth proportional to 27,462.84, 41,194.26 and 6,686.16 is: 10,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.84 : 41,194.26 = 6,686.16 : x
  2. Step 2: Convert to fraction form
    27,462.84/41,194.26 = 6,686.16/x
  3. Step 3: Cross multiply
    27,462.84x = 41,194.26 × 6,686.16
  4. Step 4: Simplify right side
    27,462.84x = 275,431,413.44
  5. Step 5: Solve for x
    x = 275,431,413.44/27,462.84
  6. Step 6: Final answer
    x = 10,029.24

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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.