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Finding the Fourth Proportional to 13,687.97, 20,518.27 and 11,806.24

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Solution

The fourth proportional to 13,687.97, 20,518.27 and 11,806.24 is: 17,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.97 : 20,518.27 = 11,806.24 : x
  2. Step 2: Convert to fraction form
    13,687.97/20,518.27 = 11,806.24/x
  3. Step 3: Cross multiply
    13,687.97x = 20,518.27 × 11,806.24
  4. Step 4: Simplify right side
    13,687.97x = 242,243,620.00
  5. Step 5: Solve for x
    x = 242,243,620.00/13,687.97
  6. Step 6: Final answer
    x = 17,697.56

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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.