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Finding the Fourth Proportional to 19,842.30, 27,380.56 and 11,774.56

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Solution

The fourth proportional to 19,842.30, 27,380.56 and 11,774.56 is: 16,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.30 : 27,380.56 = 11,774.56 : x
  2. Step 2: Convert to fraction form
    19,842.30/27,380.56 = 11,774.56/x
  3. Step 3: Cross multiply
    19,842.30x = 27,380.56 × 11,774.56
  4. Step 4: Simplify right side
    19,842.30x = 322,394,046.55
  5. Step 5: Solve for x
    x = 322,394,046.55/19,842.30
  6. Step 6: Final answer
    x = 16,247.82

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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.