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Finding the Fourth Proportional to 22,270.56, 33,413.04 and 7,486.24

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Solution

The fourth proportional to 22,270.56, 33,413.04 and 7,486.24 is: 11,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.56 : 33,413.04 = 7,486.24 : x
  2. Step 2: Convert to fraction form
    22,270.56/33,413.04 = 7,486.24/x
  3. Step 3: Cross multiply
    22,270.56x = 33,413.04 × 7,486.24
  4. Step 4: Simplify right side
    22,270.56x = 250,138,036.57
  5. Step 5: Solve for x
    x = 250,138,036.57/22,270.56
  6. Step 6: Final answer
    x = 11,231.78

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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.