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Finding the Fourth Proportional to 19,797.60, 29,713.20 and 8,119.20

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Solution

The fourth proportional to 19,797.60, 29,713.20 and 8,119.20 is: 12,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.60 : 29,713.20 = 8,119.20 : x
  2. Step 2: Convert to fraction form
    19,797.60/29,713.20 = 8,119.20/x
  3. Step 3: Cross multiply
    19,797.60x = 29,713.20 × 8,119.20
  4. Step 4: Simplify right side
    19,797.60x = 241,247,413.44
  5. Step 5: Solve for x
    x = 241,247,413.44/19,797.60
  6. Step 6: Final answer
    x = 12,185.69

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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.