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Finding the Fourth Proportional to 22,413.43, 30,930.76 and 12,342.80

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Solution

The fourth proportional to 22,413.43, 30,930.76 and 12,342.80 is: 17,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.43 : 30,930.76 = 12,342.80 : x
  2. Step 2: Convert to fraction form
    22,413.43/30,930.76 = 12,342.80/x
  3. Step 3: Cross multiply
    22,413.43x = 30,930.76 × 12,342.80
  4. Step 4: Simplify right side
    22,413.43x = 381,772,231.00
  5. Step 5: Solve for x
    x = 381,772,231.00/22,413.43
  6. Step 6: Final answer
    x = 17,033.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.