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Finding the Fourth Proportional to 13,408.05, 18,503.60 and 8,101.84

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Solution

The fourth proportional to 13,408.05, 18,503.60 and 8,101.84 is: 11,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.05 : 18,503.60 = 8,101.84 : x
  2. Step 2: Convert to fraction form
    13,408.05/18,503.60 = 8,101.84/x
  3. Step 3: Cross multiply
    13,408.05x = 18,503.60 × 8,101.84
  4. Step 4: Simplify right side
    13,408.05x = 149,913,073.60
  5. Step 5: Solve for x
    x = 149,913,073.60/13,408.05
  6. Step 6: Final answer
    x = 11,180.83

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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.