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Finding the Fourth Proportional to 23,028.64, 34,539.28 and 8,234.80

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Solution

The fourth proportional to 23,028.64, 34,539.28 and 8,234.80 is: 12,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,028.64 : 34,539.28 = 8,234.80 : x
  2. Step 2: Convert to fraction form
    23,028.64/34,539.28 = 8,234.80/x
  3. Step 3: Cross multiply
    23,028.64x = 34,539.28 × 8,234.80
  4. Step 4: Simplify right side
    23,028.64x = 284,424,062.94
  5. Step 5: Solve for x
    x = 284,424,062.94/23,028.64
  6. Step 6: Final answer
    x = 12,350.88

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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.