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Finding the Fourth Proportional to 13,644.10, 20,467.10 and 5,321.35

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Solution

The fourth proportional to 13,644.10, 20,467.10 and 5,321.35 is: 7,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.10 : 20,467.10 = 5,321.35 : x
  2. Step 2: Convert to fraction form
    13,644.10/20,467.10 = 5,321.35/x
  3. Step 3: Cross multiply
    13,644.10x = 20,467.10 × 5,321.35
  4. Step 4: Simplify right side
    13,644.10x = 108,912,575.98
  5. Step 5: Solve for x
    x = 108,912,575.98/13,644.10
  6. Step 6: Final answer
    x = 7,982.39

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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.