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Finding the Fourth Proportional to 22,142.69, 33,233.47 and 11,620.20

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Solution

The fourth proportional to 22,142.69, 33,233.47 and 11,620.20 is: 17,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.69 : 33,233.47 = 11,620.20 : x
  2. Step 2: Convert to fraction form
    22,142.69/33,233.47 = 11,620.20/x
  3. Step 3: Cross multiply
    22,142.69x = 33,233.47 × 11,620.20
  4. Step 4: Simplify right side
    22,142.69x = 386,179,568.09
  5. Step 5: Solve for x
    x = 386,179,568.09/22,142.69
  6. Step 6: Final answer
    x = 17,440.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.