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Finding the Fourth Proportional to 27,827.39, 41,741.10 and 8,107.49

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Solution

The fourth proportional to 27,827.39, 41,741.10 and 8,107.49 is: 12,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.39 : 41,741.10 = 8,107.49 : x
  2. Step 2: Convert to fraction form
    27,827.39/41,741.10 = 8,107.49/x
  3. Step 3: Cross multiply
    27,827.39x = 41,741.10 × 8,107.49
  4. Step 4: Simplify right side
    27,827.39x = 338,415,655.19
  5. Step 5: Solve for x
    x = 338,415,655.19/27,827.39
  6. Step 6: Final answer
    x = 12,161.24

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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.