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Finding the Fourth Proportional to 13,408.20, 18,493.11 and 8,097.44

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Solution

The fourth proportional to 13,408.20, 18,493.11 and 8,097.44 is: 11,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.20 : 18,493.11 = 8,097.44 : x
  2. Step 2: Convert to fraction form
    13,408.20/18,493.11 = 8,097.44/x
  3. Step 3: Cross multiply
    13,408.20x = 18,493.11 × 8,097.44
  4. Step 4: Simplify right side
    13,408.20x = 149,746,756.17
  5. Step 5: Solve for x
    x = 149,746,756.17/13,408.20
  6. Step 6: Final answer
    x = 11,168.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.