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Finding the Fourth Proportional to 12,727.26, 17,563.77 and 7,692.03

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Solution

The fourth proportional to 12,727.26, 17,563.77 and 7,692.03 is: 10,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.26 : 17,563.77 = 7,692.03 : x
  2. Step 2: Convert to fraction form
    12,727.26/17,563.77 = 7,692.03/x
  3. Step 3: Cross multiply
    12,727.26x = 17,563.77 × 7,692.03
  4. Step 4: Simplify right side
    12,727.26x = 135,101,045.75
  5. Step 5: Solve for x
    x = 135,101,045.75/12,727.26
  6. Step 6: Final answer
    x = 10,615.09

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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.