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Finding the Fourth Proportional to 23,194.50, 34,745.67 and 11,471.94

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Solution

The fourth proportional to 23,194.50, 34,745.67 and 11,471.94 is: 17,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.50 : 34,745.67 = 11,471.94 : x
  2. Step 2: Convert to fraction form
    23,194.50/34,745.67 = 11,471.94/x
  3. Step 3: Cross multiply
    23,194.50x = 34,745.67 × 11,471.94
  4. Step 4: Simplify right side
    23,194.50x = 398,600,241.50
  5. Step 5: Solve for x
    x = 398,600,241.50/23,194.50
  6. Step 6: Final answer
    x = 17,185.12

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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.