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Finding the Fourth Proportional to 11,735.44, 17,561.22 and 10,193.61

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Solution

The fourth proportional to 11,735.44, 17,561.22 and 10,193.61 is: 15,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.44 : 17,561.22 = 10,193.61 : x
  2. Step 2: Convert to fraction form
    11,735.44/17,561.22 = 10,193.61/x
  3. Step 3: Cross multiply
    11,735.44x = 17,561.22 × 10,193.61
  4. Step 4: Simplify right side
    11,735.44x = 179,012,227.80
  5. Step 5: Solve for x
    x = 179,012,227.80/11,735.44
  6. Step 6: Final answer
    x = 15,253.99

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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.