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Finding the Fourth Proportional to 19,694.12, 27,180.78 and 11,741

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Solution

The fourth proportional to 19,694.12, 27,180.78 and 11,741 is: 16,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.12 : 27,180.78 = 11,741 : x
  2. Step 2: Convert to fraction form
    19,694.12/27,180.78 = 11,741/x
  3. Step 3: Cross multiply
    19,694.12x = 27,180.78 × 11,741
  4. Step 4: Simplify right side
    19,694.12x = 319,129,537.98
  5. Step 5: Solve for x
    x = 319,129,537.98/19,694.12
  6. Step 6: Final answer
    x = 16,204.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.