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Finding the Fourth Proportional to 11,912.13, 17,861.76 and 9,131.90

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Solution

The fourth proportional to 11,912.13, 17,861.76 and 9,131.90 is: 13,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.13 : 17,861.76 = 9,131.90 : x
  2. Step 2: Convert to fraction form
    11,912.13/17,861.76 = 9,131.90/x
  3. Step 3: Cross multiply
    11,912.13x = 17,861.76 × 9,131.90
  4. Step 4: Simplify right side
    11,912.13x = 163,111,716.84
  5. Step 5: Solve for x
    x = 163,111,716.84/11,912.13
  6. Step 6: Final answer
    x = 13,692.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.