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Finding the Fourth Proportional to 22,413.22, 30,929.98 and 12,982.66

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Solution

The fourth proportional to 22,413.22, 30,929.98 and 12,982.66 is: 17,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.22 : 30,929.98 = 12,982.66 : x
  2. Step 2: Convert to fraction form
    22,413.22/30,929.98 = 12,982.66/x
  3. Step 3: Cross multiply
    22,413.22x = 30,929.98 × 12,982.66
  4. Step 4: Simplify right side
    22,413.22x = 401,553,414.15
  5. Step 5: Solve for x
    x = 401,553,414.15/22,413.22
  6. Step 6: Final answer
    x = 17,915.92

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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.