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Finding the Fourth Proportional to 23,824.38, 35,741.76 and 7,183.14

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Solution

The fourth proportional to 23,824.38, 35,741.76 and 7,183.14 is: 10,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.38 : 35,741.76 = 7,183.14 : x
  2. Step 2: Convert to fraction form
    23,824.38/35,741.76 = 7,183.14/x
  3. Step 3: Cross multiply
    23,824.38x = 35,741.76 × 7,183.14
  4. Step 4: Simplify right side
    23,824.38x = 256,738,065.93
  5. Step 5: Solve for x
    x = 256,738,065.93/23,824.38
  6. Step 6: Final answer
    x = 10,776.27

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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.