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Finding the Fourth Proportional to 13,383.98, 18,469.90 and 8,077.78

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Solution

The fourth proportional to 13,383.98, 18,469.90 and 8,077.78 is: 11,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.98 : 18,469.90 = 8,077.78 : x
  2. Step 2: Convert to fraction form
    13,383.98/18,469.90 = 8,077.78/x
  3. Step 3: Cross multiply
    13,383.98x = 18,469.90 × 8,077.78
  4. Step 4: Simplify right side
    13,383.98x = 149,195,695.39
  5. Step 5: Solve for x
    x = 149,195,695.39/13,383.98
  6. Step 6: Final answer
    x = 11,147.33

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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.