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Finding the Fourth Proportional to 22,642.14, 33,961.05 and 7,059.90

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Solution

The fourth proportional to 22,642.14, 33,961.05 and 7,059.90 is: 10,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.14 : 33,961.05 = 7,059.90 : x
  2. Step 2: Convert to fraction form
    22,642.14/33,961.05 = 7,059.90/x
  3. Step 3: Cross multiply
    22,642.14x = 33,961.05 × 7,059.90
  4. Step 4: Simplify right side
    22,642.14x = 239,761,616.90
  5. Step 5: Solve for x
    x = 239,761,616.90/22,642.14
  6. Step 6: Final answer
    x = 10,589.18

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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.