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Finding the Fourth Proportional to 20,191.82, 27,864.30 and 12,642.32

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Solution

The fourth proportional to 20,191.82, 27,864.30 and 12,642.32 is: 17,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.82 : 27,864.30 = 12,642.32 : x
  2. Step 2: Convert to fraction form
    20,191.82/27,864.30 = 12,642.32/x
  3. Step 3: Cross multiply
    20,191.82x = 27,864.30 × 12,642.32
  4. Step 4: Simplify right side
    20,191.82x = 352,269,257.85
  5. Step 5: Solve for x
    x = 352,269,257.85/20,191.82
  6. Step 6: Final answer
    x = 17,446.14

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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.