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Finding the Fourth Proportional to 20,057.96, 27,687.26 and 11,674.46

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Solution

The fourth proportional to 20,057.96, 27,687.26 and 11,674.46 is: 16,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.96 : 27,687.26 = 11,674.46 : x
  2. Step 2: Convert to fraction form
    20,057.96/27,687.26 = 11,674.46/x
  3. Step 3: Cross multiply
    20,057.96x = 27,687.26 × 11,674.46
  4. Step 4: Simplify right side
    20,057.96x = 323,233,809.38
  5. Step 5: Solve for x
    x = 323,233,809.38/20,057.96
  6. Step 6: Final answer
    x = 16,114.99

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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.