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Finding the Fourth Proportional to 23,183.82, 34,773.48 and 6,543.60

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Solution

The fourth proportional to 23,183.82, 34,773.48 and 6,543.60 is: 9,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.82 : 34,773.48 = 6,543.60 : x
  2. Step 2: Convert to fraction form
    23,183.82/34,773.48 = 6,543.60/x
  3. Step 3: Cross multiply
    23,183.82x = 34,773.48 × 6,543.60
  4. Step 4: Simplify right side
    23,183.82x = 227,543,743.73
  5. Step 5: Solve for x
    x = 227,543,743.73/23,183.82
  6. Step 6: Final answer
    x = 9,814.76

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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.