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Finding the Fourth Proportional to 22,209.53, 33,309.96 and 6,413.45

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Solution

The fourth proportional to 22,209.53, 33,309.96 and 6,413.45 is: 9,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,209.53 : 33,309.96 = 6,413.45 : x
  2. Step 2: Convert to fraction form
    22,209.53/33,309.96 = 6,413.45/x
  3. Step 3: Cross multiply
    22,209.53x = 33,309.96 × 6,413.45
  4. Step 4: Simplify right side
    22,209.53x = 213,631,596.41
  5. Step 5: Solve for x
    x = 213,631,596.41/22,209.53
  6. Step 6: Final answer
    x = 9,618.92

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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.