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Finding the Fourth Proportional to 13,179.70, 19,766.44 and 3,817.24

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Solution

The fourth proportional to 13,179.70, 19,766.44 and 3,817.24 is: 5,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,179.70 : 19,766.44 = 3,817.24 : x
  2. Step 2: Convert to fraction form
    13,179.70/19,766.44 = 3,817.24/x
  3. Step 3: Cross multiply
    13,179.70x = 19,766.44 × 3,817.24
  4. Step 4: Simplify right side
    13,179.70x = 75,453,245.43
  5. Step 5: Solve for x
    x = 75,453,245.43/13,179.70
  6. Step 6: Final answer
    x = 5,724.96

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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.