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Finding the Fourth Proportional to 22,211.70, 33,317.82 and 12,413.40

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Solution

The fourth proportional to 22,211.70, 33,317.82 and 12,413.40 is: 18,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,211.70 : 33,317.82 = 12,413.40 : x
  2. Step 2: Convert to fraction form
    22,211.70/33,317.82 = 12,413.40/x
  3. Step 3: Cross multiply
    22,211.70x = 33,317.82 × 12,413.40
  4. Step 4: Simplify right side
    22,211.70x = 413,587,426.79
  5. Step 5: Solve for x
    x = 413,587,426.79/22,211.70
  6. Step 6: Final answer
    x = 18,620.25

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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.