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Finding the Fourth Proportional to 13,408.34, 18,503.07 and 8,102.24

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Solution

The fourth proportional to 13,408.34, 18,503.07 and 8,102.24 is: 11,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.34 : 18,503.07 = 8,102.24 : x
  2. Step 2: Convert to fraction form
    13,408.34/18,503.07 = 8,102.24/x
  3. Step 3: Cross multiply
    13,408.34x = 18,503.07 × 8,102.24
  4. Step 4: Simplify right side
    13,408.34x = 149,916,313.88
  5. Step 5: Solve for x
    x = 149,916,313.88/13,408.34
  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.