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Finding the Fourth Proportional to 20,649.81, 28,496.78 and 11,218.38

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Solution

The fourth proportional to 20,649.81, 28,496.78 and 11,218.38 is: 15,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.81 : 28,496.78 = 11,218.38 : x
  2. Step 2: Convert to fraction form
    20,649.81/28,496.78 = 11,218.38/x
  3. Step 3: Cross multiply
    20,649.81x = 28,496.78 × 11,218.38
  4. Step 4: Simplify right side
    20,649.81x = 319,687,706.82
  5. Step 5: Solve for x
    x = 319,687,706.82/20,649.81
  6. Step 6: Final answer
    x = 15,481.39

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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.