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Finding the Fourth Proportional to 23,026.26, 34,539.39 and 8,234.28

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Solution

The fourth proportional to 23,026.26, 34,539.39 and 8,234.28 is: 12,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,026.26 : 34,539.39 = 8,234.28 : x
  2. Step 2: Convert to fraction form
    23,026.26/34,539.39 = 8,234.28/x
  3. Step 3: Cross multiply
    23,026.26x = 34,539.39 × 8,234.28
  4. Step 4: Simplify right side
    23,026.26x = 284,407,028.87
  5. Step 5: Solve for x
    x = 284,407,028.87/23,026.26
  6. Step 6: Final answer
    x = 12,351.42

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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.