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Finding the Fourth Proportional to 20,268.93, 27,983.94 and 13,906.17

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Solution

The fourth proportional to 20,268.93, 27,983.94 and 13,906.17 is: 19,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268.93 : 27,983.94 = 13,906.17 : x
  2. Step 2: Convert to fraction form
    20,268.93/27,983.94 = 13,906.17/x
  3. Step 3: Cross multiply
    20,268.93x = 27,983.94 × 13,906.17
  4. Step 4: Simplify right side
    20,268.93x = 389,149,426.91
  5. Step 5: Solve for x
    x = 389,149,426.91/20,268.93
  6. Step 6: Final answer
    x = 19,199.31

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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.