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Finding the Fourth Proportional to 23,906.24, 35,812 and 16,391.32

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Solution

The fourth proportional to 23,906.24, 35,812 and 16,391.32 is: 24,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.24 : 35,812 = 16,391.32 : x
  2. Step 2: Convert to fraction form
    23,906.24/35,812 = 16,391.32/x
  3. Step 3: Cross multiply
    23,906.24x = 35,812 × 16,391.32
  4. Step 4: Simplify right side
    23,906.24x = 587,005,951.84
  5. Step 5: Solve for x
    x = 587,005,951.84/23,906.24
  6. Step 6: Final answer
    x = 24,554.51

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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.