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Finding the Fourth Proportional to 20,238.69, 27,930.38 and 11,740.71

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Solution

The fourth proportional to 20,238.69, 27,930.38 and 11,740.71 is: 16,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.69 : 27,930.38 = 11,740.71 : x
  2. Step 2: Convert to fraction form
    20,238.69/27,930.38 = 11,740.71/x
  3. Step 3: Cross multiply
    20,238.69x = 27,930.38 × 11,740.71
  4. Step 4: Simplify right side
    20,238.69x = 327,922,491.77
  5. Step 5: Solve for x
    x = 327,922,491.77/20,238.69
  6. Step 6: Final answer
    x = 16,202.75

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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.