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Finding the Fourth Proportional to 20,102.82, 27,716.39 and 14,367.12

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Solution

The fourth proportional to 20,102.82, 27,716.39 and 14,367.12 is: 19,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.82 : 27,716.39 = 14,367.12 : x
  2. Step 2: Convert to fraction form
    20,102.82/27,716.39 = 14,367.12/x
  3. Step 3: Cross multiply
    20,102.82x = 27,716.39 × 14,367.12
  4. Step 4: Simplify right side
    20,102.82x = 398,204,629.26
  5. Step 5: Solve for x
    x = 398,204,629.26/20,102.82
  6. Step 6: Final answer
    x = 19,808.40

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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.