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Finding the Fourth Proportional to 22,413.69, 33,617.36 and 7,620.47

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Solution

The fourth proportional to 22,413.69, 33,617.36 and 7,620.47 is: 11,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.69 : 33,617.36 = 7,620.47 : x
  2. Step 2: Convert to fraction form
    22,413.69/33,617.36 = 7,620.47/x
  3. Step 3: Cross multiply
    22,413.69x = 33,617.36 × 7,620.47
  4. Step 4: Simplify right side
    22,413.69x = 256,179,877.17
  5. Step 5: Solve for x
    x = 256,179,877.17/22,413.69
  6. Step 6: Final answer
    x = 11,429.62

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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.