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Finding the Fourth Proportional to 23,454.65, 35,183.81 and 6,814.96

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Solution

The fourth proportional to 23,454.65, 35,183.81 and 6,814.96 is: 10,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.65 : 35,183.81 = 6,814.96 : x
  2. Step 2: Convert to fraction form
    23,454.65/35,183.81 = 6,814.96/x
  3. Step 3: Cross multiply
    23,454.65x = 35,183.81 × 6,814.96
  4. Step 4: Simplify right side
    23,454.65x = 239,776,257.80
  5. Step 5: Solve for x
    x = 239,776,257.80/23,454.65
  6. Step 6: Final answer
    x = 10,222.97

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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.