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Finding the Fourth Proportional to 11,912.22, 17,814.66 and 9,101.90

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Solution

The fourth proportional to 11,912.22, 17,814.66 and 9,101.90 is: 13,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.22 : 17,814.66 = 9,101.90 : x
  2. Step 2: Convert to fraction form
    11,912.22/17,814.66 = 9,101.90/x
  3. Step 3: Cross multiply
    11,912.22x = 17,814.66 × 9,101.90
  4. Step 4: Simplify right side
    11,912.22x = 162,147,253.85
  5. Step 5: Solve for x
    x = 162,147,253.85/11,912.22
  6. Step 6: Final answer
    x = 13,611.84

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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.