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Finding the Fourth Proportional to 13,383.40, 18,469.23 and 8,077.21

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Solution

The fourth proportional to 13,383.40, 18,469.23 and 8,077.21 is: 11,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.40 : 18,469.23 = 8,077.21 : x
  2. Step 2: Convert to fraction form
    13,383.40/18,469.23 = 8,077.21/x
  3. Step 3: Cross multiply
    13,383.40x = 18,469.23 × 8,077.21
  4. Step 4: Simplify right side
    13,383.40x = 149,179,849.25
  5. Step 5: Solve for x
    x = 149,179,849.25/13,383.40
  6. Step 6: Final answer
    x = 11,146.63

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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.