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Finding the Fourth Proportional to 19,996.14, 27,593.05 and 11,497.83

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Solution

The fourth proportional to 19,996.14, 27,593.05 and 11,497.83 is: 15,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,996.14 : 27,593.05 = 11,497.83 : x
  2. Step 2: Convert to fraction form
    19,996.14/27,593.05 = 11,497.83/x
  3. Step 3: Cross multiply
    19,996.14x = 27,593.05 × 11,497.83
  4. Step 4: Simplify right side
    19,996.14x = 317,260,198.08
  5. Step 5: Solve for x
    x = 317,260,198.08/19,996.14
  6. Step 6: Final answer
    x = 15,866.07

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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.