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Finding the Fourth Proportional to 23,074.74, 31,843.15 and 12,464.37

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Solution

The fourth proportional to 23,074.74, 31,843.15 and 12,464.37 is: 17,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.74 : 31,843.15 = 12,464.37 : x
  2. Step 2: Convert to fraction form
    23,074.74/31,843.15 = 12,464.37/x
  3. Step 3: Cross multiply
    23,074.74x = 31,843.15 × 12,464.37
  4. Step 4: Simplify right side
    23,074.74x = 396,904,772.40
  5. Step 5: Solve for x
    x = 396,904,772.40/23,074.74
  6. Step 6: Final answer
    x = 17,200.83

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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.