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Finding the Fourth Proportional to 23,849.24, 35,773.86 and 8,266.87

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Solution

The fourth proportional to 23,849.24, 35,773.86 and 8,266.87 is: 12,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849.24 : 35,773.86 = 8,266.87 : x
  2. Step 2: Convert to fraction form
    23,849.24/35,773.86 = 8,266.87/x
  3. Step 3: Cross multiply
    23,849.24x = 35,773.86 × 8,266.87
  4. Step 4: Simplify right side
    23,849.24x = 295,737,671.15
  5. Step 5: Solve for x
    x = 295,737,671.15/23,849.24
  6. Step 6: Final answer
    x = 12,400.30

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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.