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Finding the Fourth Proportional to 13,108.41, 19,650.96 and 9,401.31

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Solution

The fourth proportional to 13,108.41, 19,650.96 and 9,401.31 is: 14,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.41 : 19,650.96 = 9,401.31 : x
  2. Step 2: Convert to fraction form
    13,108.41/19,650.96 = 9,401.31/x
  3. Step 3: Cross multiply
    13,108.41x = 19,650.96 × 9,401.31
  4. Step 4: Simplify right side
    13,108.41x = 184,744,766.76
  5. Step 5: Solve for x
    x = 184,744,766.76/13,108.41
  6. Step 6: Final answer
    x = 14,093.61

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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.