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Finding the Fourth Proportional to 13,231.80, 19,847.70 and 5,446.20

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Solution

The fourth proportional to 13,231.80, 19,847.70 and 5,446.20 is: 8,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.80 : 19,847.70 = 5,446.20 : x
  2. Step 2: Convert to fraction form
    13,231.80/19,847.70 = 5,446.20/x
  3. Step 3: Cross multiply
    13,231.80x = 19,847.70 × 5,446.20
  4. Step 4: Simplify right side
    13,231.80x = 108,094,543.74
  5. Step 5: Solve for x
    x = 108,094,543.74/13,231.80
  6. Step 6: Final answer
    x = 8,169.30

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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.