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Finding the Fourth Proportional to 12,094, 16,692.60 and 7,382.26

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Solution

The fourth proportional to 12,094, 16,692.60 and 7,382.26 is: 10,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094 : 16,692.60 = 7,382.26 : x
  2. Step 2: Convert to fraction form
    12,094/16,692.60 = 7,382.26/x
  3. Step 3: Cross multiply
    12,094x = 16,692.60 × 7,382.26
  4. Step 4: Simplify right side
    12,094x = 123,229,113.28
  5. Step 5: Solve for x
    x = 123,229,113.28/12,094
  6. Step 6: Final answer
    x = 10,189.28

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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.