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Finding the Fourth Proportional to 23,769.56, 35,657.76 and 8,183

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Solution

The fourth proportional to 23,769.56, 35,657.76 and 8,183 is: 12,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769.56 : 35,657.76 = 8,183 : x
  2. Step 2: Convert to fraction form
    23,769.56/35,657.76 = 8,183/x
  3. Step 3: Cross multiply
    23,769.56x = 35,657.76 × 8,183
  4. Step 4: Simplify right side
    23,769.56x = 291,787,450.08
  5. Step 5: Solve for x
    x = 291,787,450.08/23,769.56
  6. Step 6: Final answer
    x = 12,275.68

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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.