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Finding the Fourth Proportional to 12,166.42, 16,789.74 and 7,692.19

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Solution

The fourth proportional to 12,166.42, 16,789.74 and 7,692.19 is: 10,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.42 : 16,789.74 = 7,692.19 : x
  2. Step 2: Convert to fraction form
    12,166.42/16,789.74 = 7,692.19/x
  3. Step 3: Cross multiply
    12,166.42x = 16,789.74 × 7,692.19
  4. Step 4: Simplify right side
    12,166.42x = 129,149,870.13
  5. Step 5: Solve for x
    x = 129,149,870.13/12,166.42
  6. Step 6: Final answer
    x = 10,615.27

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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.