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Finding the Fourth Proportional to 22,413.86, 33,612.95 and 6,614.70

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Solution

The fourth proportional to 22,413.86, 33,612.95 and 6,614.70 is: 9,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.86 : 33,612.95 = 6,614.70 : x
  2. Step 2: Convert to fraction form
    22,413.86/33,612.95 = 6,614.70/x
  3. Step 3: Cross multiply
    22,413.86x = 33,612.95 × 6,614.70
  4. Step 4: Simplify right side
    22,413.86x = 222,339,659.93
  5. Step 5: Solve for x
    x = 222,339,659.93/22,413.86
  6. Step 6: Final answer
    x = 9,919.74

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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.