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Finding the Fourth Proportional to 27,847.77, 41,761.94 and 12,261.21

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Solution

The fourth proportional to 27,847.77, 41,761.94 and 12,261.21 is: 18,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.77 : 41,761.94 = 12,261.21 : x
  2. Step 2: Convert to fraction form
    27,847.77/41,761.94 = 12,261.21/x
  3. Step 3: Cross multiply
    27,847.77x = 41,761.94 × 12,261.21
  4. Step 4: Simplify right side
    27,847.77x = 512,051,855.04
  5. Step 5: Solve for x
    x = 512,051,855.04/27,847.77
  6. Step 6: Final answer
    x = 18,387.54

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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.