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Finding the Fourth Proportional to 19,781.76, 29,684.31 and 7,310.61

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Solution

The fourth proportional to 19,781.76, 29,684.31 and 7,310.61 is: 10,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.76 : 29,684.31 = 7,310.61 : x
  2. Step 2: Convert to fraction form
    19,781.76/29,684.31 = 7,310.61/x
  3. Step 3: Cross multiply
    19,781.76x = 29,684.31 × 7,310.61
  4. Step 4: Simplify right side
    19,781.76x = 217,010,413.53
  5. Step 5: Solve for x
    x = 217,010,413.53/19,781.76
  6. Step 6: Final answer
    x = 10,970.23

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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.