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Finding the Fourth Proportional to 19,786.96, 27,308.60 and 11,287.14

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Solution

The fourth proportional to 19,786.96, 27,308.60 and 11,287.14 is: 15,577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,786.96 : 27,308.60 = 11,287.14 : x
  2. Step 2: Convert to fraction form
    19,786.96/27,308.60 = 11,287.14/x
  3. Step 3: Cross multiply
    19,786.96x = 27,308.60 × 11,287.14
  4. Step 4: Simplify right side
    19,786.96x = 308,235,991.40
  5. Step 5: Solve for x
    x = 308,235,991.40/19,786.96
  6. Step 6: Final answer
    x = 15,577.73

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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.