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Finding the Fourth Proportional to 19,709.96, 27,194.55 and 11,212.16

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Solution

The fourth proportional to 19,709.96, 27,194.55 and 11,212.16 is: 15,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.96 : 27,194.55 = 11,212.16 : x
  2. Step 2: Convert to fraction form
    19,709.96/27,194.55 = 11,212.16/x
  3. Step 3: Cross multiply
    19,709.96x = 27,194.55 × 11,212.16
  4. Step 4: Simplify right side
    19,709.96x = 304,909,645.73
  5. Step 5: Solve for x
    x = 304,909,645.73/19,709.96
  6. Step 6: Final answer
    x = 15,469.83

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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.