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Finding the Fourth Proportional to 12,094.82, 16,692.67 and 7,381.83

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Solution

The fourth proportional to 12,094.82, 16,692.67 and 7,381.83 is: 10,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.82 : 16,692.67 = 7,381.83 : x
  2. Step 2: Convert to fraction form
    12,094.82/16,692.67 = 7,381.83/x
  3. Step 3: Cross multiply
    12,094.82x = 16,692.67 × 7,381.83
  4. Step 4: Simplify right side
    12,094.82x = 123,222,415.28
  5. Step 5: Solve for x
    x = 123,222,415.28/12,094.82
  6. Step 6: Final answer
    x = 10,188.04

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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.