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Finding the Fourth Proportional to 27,822.84, 41,738.36 and 8,098.80

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Solution

The fourth proportional to 27,822.84, 41,738.36 and 8,098.80 is: 12,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.84 : 41,738.36 = 8,098.80 : x
  2. Step 2: Convert to fraction form
    27,822.84/41,738.36 = 8,098.80/x
  3. Step 3: Cross multiply
    27,822.84x = 41,738.36 × 8,098.80
  4. Step 4: Simplify right side
    27,822.84x = 338,030,589.47
  5. Step 5: Solve for x
    x = 338,030,589.47/27,822.84
  6. Step 6: Final answer
    x = 12,149.39

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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.