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Finding the Fourth Proportional to 20,252.43, 27,945 and 13,527.27

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Solution

The fourth proportional to 20,252.43, 27,945 and 13,527.27 is: 18,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.43 : 27,945 = 13,527.27 : x
  2. Step 2: Convert to fraction form
    20,252.43/27,945 = 13,527.27/x
  3. Step 3: Cross multiply
    20,252.43x = 27,945 × 13,527.27
  4. Step 4: Simplify right side
    20,252.43x = 378,019,560.15
  5. Step 5: Solve for x
    x = 378,019,560.15/20,252.43
  6. Step 6: Final answer
    x = 18,665.39

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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.