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Finding the Fourth Proportional to 20,071.62, 27,694.17 and 12,114.18

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Solution

The fourth proportional to 20,071.62, 27,694.17 and 12,114.18 is: 16,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.62 : 27,694.17 = 12,114.18 : x
  2. Step 2: Convert to fraction form
    20,071.62/27,694.17 = 12,114.18/x
  3. Step 3: Cross multiply
    20,071.62x = 27,694.17 × 12,114.18
  4. Step 4: Simplify right side
    20,071.62x = 335,492,160.33
  5. Step 5: Solve for x
    x = 335,492,160.33/20,071.62
  6. Step 6: Final answer
    x = 16,714.75

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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.