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Finding the Fourth Proportional to 20,998.20, 31,479.06 and 7,847.04

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Solution

The fourth proportional to 20,998.20, 31,479.06 and 7,847.04 is: 11,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.20 : 31,479.06 = 7,847.04 : x
  2. Step 2: Convert to fraction form
    20,998.20/31,479.06 = 7,847.04/x
  3. Step 3: Cross multiply
    20,998.20x = 31,479.06 × 7,847.04
  4. Step 4: Simplify right side
    20,998.20x = 247,017,442.98
  5. Step 5: Solve for x
    x = 247,017,442.98/20,998.20
  6. Step 6: Final answer
    x = 11,763.74

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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.