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Finding the Fourth Proportional to 23,906.64, 35,822.48 and 15,123

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Solution

The fourth proportional to 23,906.64, 35,822.48 and 15,123 is: 22,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.64 : 35,822.48 = 15,123 : x
  2. Step 2: Convert to fraction form
    23,906.64/35,822.48 = 15,123/x
  3. Step 3: Cross multiply
    23,906.64x = 35,822.48 × 15,123
  4. Step 4: Simplify right side
    23,906.64x = 541,743,365.04
  5. Step 5: Solve for x
    x = 541,743,365.04/23,906.64
  6. Step 6: Final answer
    x = 22,660.79

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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.