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Finding the Fourth Proportional to 20,216.68, 27,902.68 and 11,724.23

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Solution

The fourth proportional to 20,216.68, 27,902.68 and 11,724.23 is: 16,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.68 : 27,902.68 = 11,724.23 : x
  2. Step 2: Convert to fraction form
    20,216.68/27,902.68 = 11,724.23/x
  3. Step 3: Cross multiply
    20,216.68x = 27,902.68 × 11,724.23
  4. Step 4: Simplify right side
    20,216.68x = 327,137,478.38
  5. Step 5: Solve for x
    x = 327,137,478.38/20,216.68
  6. Step 6: Final answer
    x = 16,181.56

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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.