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Finding the Fourth Proportional to 23,892.96, 35,839.56 and 7,253.14

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Solution

The fourth proportional to 23,892.96, 35,839.56 and 7,253.14 is: 10,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.96 : 35,839.56 = 7,253.14 : x
  2. Step 2: Convert to fraction form
    23,892.96/35,839.56 = 7,253.14/x
  3. Step 3: Cross multiply
    23,892.96x = 35,839.56 × 7,253.14
  4. Step 4: Simplify right side
    23,892.96x = 259,949,346.22
  5. Step 5: Solve for x
    x = 259,949,346.22/23,892.96
  6. Step 6: Final answer
    x = 10,879.75

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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.