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Finding the Fourth Proportional to 23,074.86, 31,843.34 and 12,464.49

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Solution

The fourth proportional to 23,074.86, 31,843.34 and 12,464.49 is: 17,201.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.86 : 31,843.34 = 12,464.49 : x
  2. Step 2: Convert to fraction form
    23,074.86/31,843.34 = 12,464.49/x
  3. Step 3: Cross multiply
    23,074.86x = 31,843.34 × 12,464.49
  4. Step 4: Simplify right side
    23,074.86x = 396,910,930.67
  5. Step 5: Solve for x
    x = 396,910,930.67/23,074.86
  6. Step 6: Final answer
    x = 17,201.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.