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Finding the Fourth Proportional to 13,408.42, 18,504.11 and 8,102.21

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Solution

The fourth proportional to 13,408.42, 18,504.11 and 8,102.21 is: 11,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.42 : 18,504.11 = 8,102.21 : x
  2. Step 2: Convert to fraction form
    13,408.42/18,504.11 = 8,102.21/x
  3. Step 3: Cross multiply
    13,408.42x = 18,504.11 × 8,102.21
  4. Step 4: Simplify right side
    13,408.42x = 149,924,185.08
  5. Step 5: Solve for x
    x = 149,924,185.08/13,408.42
  6. Step 6: Final answer
    x = 11,181.35

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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.