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Finding the Fourth Proportional to 20,159.56, 27,832.62 and 12,992

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Solution

The fourth proportional to 20,159.56, 27,832.62 and 12,992 is: 17,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.56 : 27,832.62 = 12,992 : x
  2. Step 2: Convert to fraction form
    20,159.56/27,832.62 = 12,992/x
  3. Step 3: Cross multiply
    20,159.56x = 27,832.62 × 12,992
  4. Step 4: Simplify right side
    20,159.56x = 361,601,399.04
  5. Step 5: Solve for x
    x = 361,601,399.04/20,159.56
  6. Step 6: Final answer
    x = 17,936.97

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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.