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Finding the Fourth Proportional to 23,917.28, 35,876 and 8,324

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Solution

The fourth proportional to 23,917.28, 35,876 and 8,324 is: 12,486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,917.28 : 35,876 = 8,324 : x
  2. Step 2: Convert to fraction form
    23,917.28/35,876 = 8,324/x
  3. Step 3: Cross multiply
    23,917.28x = 35,876 × 8,324
  4. Step 4: Simplify right side
    23,917.28x = 298,631,824
  5. Step 5: Solve for x
    x = 298,631,824/23,917.28
  6. Step 6: Final answer
    x = 12,486.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.