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Finding the Fourth Proportional to 27,506.97, 41,253.82 and 12,701.66

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Solution

The fourth proportional to 27,506.97, 41,253.82 and 12,701.66 is: 19,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506.97 : 41,253.82 = 12,701.66 : x
  2. Step 2: Convert to fraction form
    27,506.97/41,253.82 = 12,701.66/x
  3. Step 3: Cross multiply
    27,506.97x = 41,253.82 × 12,701.66
  4. Step 4: Simplify right side
    27,506.97x = 523,991,757.32
  5. Step 5: Solve for x
    x = 523,991,757.32/27,506.97
  6. Step 6: Final answer
    x = 19,049.42

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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.