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Finding the Fourth Proportional to 22,269.86, 33,375.62 and 9,106.82

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Solution

The fourth proportional to 22,269.86, 33,375.62 and 9,106.82 is: 13,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,269.86 : 33,375.62 = 9,106.82 : x
  2. Step 2: Convert to fraction form
    22,269.86/33,375.62 = 9,106.82/x
  3. Step 3: Cross multiply
    22,269.86x = 33,375.62 × 9,106.82
  4. Step 4: Simplify right side
    22,269.86x = 303,945,763.73
  5. Step 5: Solve for x
    x = 303,945,763.73/22,269.86
  6. Step 6: Final answer
    x = 13,648.30

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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.