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Finding the Fourth Proportional to 19,713.38, 27,202.83 and 11,213.24

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Solution

The fourth proportional to 19,713.38, 27,202.83 and 11,213.24 is: 15,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.38 : 27,202.83 = 11,213.24 : x
  2. Step 2: Convert to fraction form
    19,713.38/27,202.83 = 11,213.24/x
  3. Step 3: Cross multiply
    19,713.38x = 27,202.83 × 11,213.24
  4. Step 4: Simplify right side
    19,713.38x = 305,031,861.47
  5. Step 5: Solve for x
    x = 305,031,861.47/19,713.38
  6. Step 6: Final answer
    x = 15,473.34

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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.