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Finding the Fourth Proportional to 13,027.96, 17,963.40 and 11,768.14

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Solution

The fourth proportional to 13,027.96, 17,963.40 and 11,768.14 is: 16,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.96 : 17,963.40 = 11,768.14 : x
  2. Step 2: Convert to fraction form
    13,027.96/17,963.40 = 11,768.14/x
  3. Step 3: Cross multiply
    13,027.96x = 17,963.40 × 11,768.14
  4. Step 4: Simplify right side
    13,027.96x = 211,395,806.08
  5. Step 5: Solve for x
    x = 211,395,806.08/13,027.96
  6. Step 6: Final answer
    x = 16,226.32

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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.