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Finding the Fourth Proportional to 23,906.37, 35,859.16 and 8,323.59

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Solution

The fourth proportional to 23,906.37, 35,859.16 and 8,323.59 is: 12,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.37 : 35,859.16 = 8,323.59 : x
  2. Step 2: Convert to fraction form
    23,906.37/35,859.16 = 8,323.59/x
  3. Step 3: Cross multiply
    23,906.37x = 35,859.16 × 8,323.59
  4. Step 4: Simplify right side
    23,906.37x = 298,477,043.64
  5. Step 5: Solve for x
    x = 298,477,043.64/23,906.37
  6. Step 6: Final answer
    x = 12,485.25

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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.