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Finding the Fourth Proportional to 23,832.70, 35,725.82 and 11,349.38

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Solution

The fourth proportional to 23,832.70, 35,725.82 and 11,349.38 is: 17,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.70 : 35,725.82 = 11,349.38 : x
  2. Step 2: Convert to fraction form
    23,832.70/35,725.82 = 11,349.38/x
  3. Step 3: Cross multiply
    23,832.70x = 35,725.82 × 11,349.38
  4. Step 4: Simplify right side
    23,832.70x = 405,465,906.99
  5. Step 5: Solve for x
    x = 405,465,906.99/23,832.70
  6. Step 6: Final answer
    x = 17,013.01

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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.