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Finding the Fourth Proportional to 13,766.98, 18,996.81 and 8,100.48

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Solution

The fourth proportional to 13,766.98, 18,996.81 and 8,100.48 is: 11,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.98 : 18,996.81 = 8,100.48 : x
  2. Step 2: Convert to fraction form
    13,766.98/18,996.81 = 8,100.48/x
  3. Step 3: Cross multiply
    13,766.98x = 18,996.81 × 8,100.48
  4. Step 4: Simplify right side
    13,766.98x = 153,883,279.47
  5. Step 5: Solve for x
    x = 153,883,279.47/13,766.98
  6. Step 6: Final answer
    x = 11,177.71

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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.