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Finding the Fourth Proportional to 13,486.44, 20,228.04 and 5,694.24

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Solution

The fourth proportional to 13,486.44, 20,228.04 and 5,694.24 is: 8,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.44 : 20,228.04 = 5,694.24 : x
  2. Step 2: Convert to fraction form
    13,486.44/20,228.04 = 5,694.24/x
  3. Step 3: Cross multiply
    13,486.44x = 20,228.04 × 5,694.24
  4. Step 4: Simplify right side
    13,486.44x = 115,183,314.49
  5. Step 5: Solve for x
    x = 115,183,314.49/13,486.44
  6. Step 6: Final answer
    x = 8,540.68

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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.