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Finding the Fourth Proportional to 13,410.35, 20,103.07 and 7,174.66

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Solution

The fourth proportional to 13,410.35, 20,103.07 and 7,174.66 is: 10,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.35 : 20,103.07 = 7,174.66 : x
  2. Step 2: Convert to fraction form
    13,410.35/20,103.07 = 7,174.66/x
  3. Step 3: Cross multiply
    13,410.35x = 20,103.07 × 7,174.66
  4. Step 4: Simplify right side
    13,410.35x = 144,232,692.21
  5. Step 5: Solve for x
    x = 144,232,692.21/13,410.35
  6. Step 6: Final answer
    x = 10,755.33

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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.