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Finding the Fourth Proportional to 20,251.96, 27,946.38 and 12,697.97

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Solution

The fourth proportional to 20,251.96, 27,946.38 and 12,697.97 is: 17,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.96 : 27,946.38 = 12,697.97 : x
  2. Step 2: Convert to fraction form
    20,251.96/27,946.38 = 12,697.97/x
  3. Step 3: Cross multiply
    20,251.96x = 27,946.38 × 12,697.97
  4. Step 4: Simplify right side
    20,251.96x = 354,862,212.30
  5. Step 5: Solve for x
    x = 354,862,212.30/20,251.96
  6. Step 6: Final answer
    x = 17,522.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.