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Finding the Fourth Proportional to 22,365.26, 33,542.13 and 6,778.70

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Solution

The fourth proportional to 22,365.26, 33,542.13 and 6,778.70 is: 10,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365.26 : 33,542.13 = 6,778.70 : x
  2. Step 2: Convert to fraction form
    22,365.26/33,542.13 = 6,778.70/x
  3. Step 3: Cross multiply
    22,365.26x = 33,542.13 × 6,778.70
  4. Step 4: Simplify right side
    22,365.26x = 227,372,036.63
  5. Step 5: Solve for x
    x = 227,372,036.63/22,365.26
  6. Step 6: Final answer
    x = 10,166.30

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