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Finding the Fourth Proportional to 20,168.83, 27,832.10 and 11,217.17

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Solution

The fourth proportional to 20,168.83, 27,832.10 and 11,217.17 is: 15,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.83 : 27,832.10 = 11,217.17 : x
  2. Step 2: Convert to fraction form
    20,168.83/27,832.10 = 11,217.17/x
  3. Step 3: Cross multiply
    20,168.83x = 27,832.10 × 11,217.17
  4. Step 4: Simplify right side
    20,168.83x = 312,197,286.04
  5. Step 5: Solve for x
    x = 312,197,286.04/20,168.83
  6. Step 6: Final answer
    x = 15,479.20

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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.