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Finding the Fourth Proportional to 22,309.48, 33,464.42 and 7,316.38

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Solution

The fourth proportional to 22,309.48, 33,464.42 and 7,316.38 is: 10,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.48 : 33,464.42 = 7,316.38 : x
  2. Step 2: Convert to fraction form
    22,309.48/33,464.42 = 7,316.38/x
  3. Step 3: Cross multiply
    22,309.48x = 33,464.42 × 7,316.38
  4. Step 4: Simplify right side
    22,309.48x = 244,838,413.20
  5. Step 5: Solve for x
    x = 244,838,413.20/22,309.48
  6. Step 6: Final answer
    x = 10,974.64

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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.