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Finding the Fourth Proportional to 23,242.26, 34,863.09 and 5,712.24

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Solution

The fourth proportional to 23,242.26, 34,863.09 and 5,712.24 is: 8,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.26 : 34,863.09 = 5,712.24 : x
  2. Step 2: Convert to fraction form
    23,242.26/34,863.09 = 5,712.24/x
  3. Step 3: Cross multiply
    23,242.26x = 34,863.09 × 5,712.24
  4. Step 4: Simplify right side
    23,242.26x = 199,146,337.22
  5. Step 5: Solve for x
    x = 199,146,337.22/23,242.26
  6. Step 6: Final answer
    x = 8,568.29

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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.