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Finding the Fourth Proportional to 23,863.92, 35,796.24 and 7,224.72

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Solution

The fourth proportional to 23,863.92, 35,796.24 and 7,224.72 is: 10,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.92 : 35,796.24 = 7,224.72 : x
  2. Step 2: Convert to fraction form
    23,863.92/35,796.24 = 7,224.72/x
  3. Step 3: Cross multiply
    23,863.92x = 35,796.24 × 7,224.72
  4. Step 4: Simplify right side
    23,863.92x = 258,617,811.05
  5. Step 5: Solve for x
    x = 258,617,811.05/23,863.92
  6. Step 6: Final answer
    x = 10,837.19

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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.