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Finding the Fourth Proportional to 13,777.98, 20,666.97 and 5,982.54

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Solution

The fourth proportional to 13,777.98, 20,666.97 and 5,982.54 is: 8,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.98 : 20,666.97 = 5,982.54 : x
  2. Step 2: Convert to fraction form
    13,777.98/20,666.97 = 5,982.54/x
  3. Step 3: Cross multiply
    13,777.98x = 20,666.97 × 5,982.54
  4. Step 4: Simplify right side
    13,777.98x = 123,640,974.70
  5. Step 5: Solve for x
    x = 123,640,974.70/13,777.98
  6. Step 6: Final answer
    x = 8,973.81

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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.