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Finding the Fourth Proportional to 20,990.60, 31,463.70 and 6,947

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Solution

The fourth proportional to 20,990.60, 31,463.70 and 6,947 is: 10,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.60 : 31,463.70 = 6,947 : x
  2. Step 2: Convert to fraction form
    20,990.60/31,463.70 = 6,947/x
  3. Step 3: Cross multiply
    20,990.60x = 31,463.70 × 6,947
  4. Step 4: Simplify right side
    20,990.60x = 218,578,323.90
  5. Step 5: Solve for x
    x = 218,578,323.90/20,990.60
  6. Step 6: Final answer
    x = 10,413.15

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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.