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Finding the Fourth Proportional to 13,937.67, 20,857.96 and 11,409.66

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Solution

The fourth proportional to 13,937.67, 20,857.96 and 11,409.66 is: 17,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.67 : 20,857.96 = 11,409.66 : x
  2. Step 2: Convert to fraction form
    13,937.67/20,857.96 = 11,409.66/x
  3. Step 3: Cross multiply
    13,937.67x = 20,857.96 × 11,409.66
  4. Step 4: Simplify right side
    13,937.67x = 237,982,181.98
  5. Step 5: Solve for x
    x = 237,982,181.98/13,937.67
  6. Step 6: Final answer
    x = 17,074.75

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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.