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Finding the Fourth Proportional to 12,102.35, 16,692.14 and 8,116.54

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Solution

The fourth proportional to 12,102.35, 16,692.14 and 8,116.54 is: 11,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.35 : 16,692.14 = 8,116.54 : x
  2. Step 2: Convert to fraction form
    12,102.35/16,692.14 = 8,116.54/x
  3. Step 3: Cross multiply
    12,102.35x = 16,692.14 × 8,116.54
  4. Step 4: Simplify right side
    12,102.35x = 135,482,400.56
  5. Step 5: Solve for x
    x = 135,482,400.56/12,102.35
  6. Step 6: Final answer
    x = 11,194.72

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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.