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Finding the Fourth Proportional to 23,892.29, 35,837.41 and 7,251.96

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Solution

The fourth proportional to 23,892.29, 35,837.41 and 7,251.96 is: 10,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.29 : 35,837.41 = 7,251.96 : x
  2. Step 2: Convert to fraction form
    23,892.29/35,837.41 = 7,251.96/x
  3. Step 3: Cross multiply
    23,892.29x = 35,837.41 × 7,251.96
  4. Step 4: Simplify right side
    23,892.29x = 259,891,311.70
  5. Step 5: Solve for x
    x = 259,891,311.70/23,892.29
  6. Step 6: Final answer
    x = 10,877.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.