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Finding the Fourth Proportional to 23,314.96, 34,961.76 and 7,517.12

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Solution

The fourth proportional to 23,314.96, 34,961.76 and 7,517.12 is: 11,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.96 : 34,961.76 = 7,517.12 : x
  2. Step 2: Convert to fraction form
    23,314.96/34,961.76 = 7,517.12/x
  3. Step 3: Cross multiply
    23,314.96x = 34,961.76 × 7,517.12
  4. Step 4: Simplify right side
    23,314.96x = 262,811,745.33
  5. Step 5: Solve for x
    x = 262,811,745.33/23,314.96
  6. Step 6: Final answer
    x = 11,272.24

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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.