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Finding the Fourth Proportional to 23,774.49, 35,647.16 and 10,608.75

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Solution

The fourth proportional to 23,774.49, 35,647.16 and 10,608.75 is: 15,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.49 : 35,647.16 = 10,608.75 : x
  2. Step 2: Convert to fraction form
    23,774.49/35,647.16 = 10,608.75/x
  3. Step 3: Cross multiply
    23,774.49x = 35,647.16 × 10,608.75
  4. Step 4: Simplify right side
    23,774.49x = 378,171,755.61
  5. Step 5: Solve for x
    x = 378,171,755.61/23,774.49
  6. Step 6: Final answer
    x = 15,906.62

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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.