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Finding the Fourth Proportional to 19,600.81, 27,049.31 and 10,648.38

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Solution

The fourth proportional to 19,600.81, 27,049.31 and 10,648.38 is: 14,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600.81 : 27,049.31 = 10,648.38 : x
  2. Step 2: Convert to fraction form
    19,600.81/27,049.31 = 10,648.38/x
  3. Step 3: Cross multiply
    19,600.81x = 27,049.31 × 10,648.38
  4. Step 4: Simplify right side
    19,600.81x = 288,031,331.62
  5. Step 5: Solve for x
    x = 288,031,331.62/19,600.81
  6. Step 6: Final answer
    x = 14,694.87

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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.