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Finding the Fourth Proportional to 23,851.53, 35,777.34 and 8,269.17

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Solution

The fourth proportional to 23,851.53, 35,777.34 and 8,269.17 is: 12,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.53 : 35,777.34 = 8,269.17 : x
  2. Step 2: Convert to fraction form
    23,851.53/35,777.34 = 8,269.17/x
  3. Step 3: Cross multiply
    23,851.53x = 35,777.34 × 8,269.17
  4. Step 4: Simplify right side
    23,851.53x = 295,848,906.61
  5. Step 5: Solve for x
    x = 295,848,906.61/23,851.53
  6. Step 6: Final answer
    x = 12,403.77

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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.