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Finding the Fourth Proportional to 23,074.64, 31,843.01 and 12,464.28

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Solution

The fourth proportional to 23,074.64, 31,843.01 and 12,464.28 is: 17,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.64 : 31,843.01 = 12,464.28 : x
  2. Step 2: Convert to fraction form
    23,074.64/31,843.01 = 12,464.28/x
  3. Step 3: Cross multiply
    23,074.64x = 31,843.01 × 12,464.28
  4. Step 4: Simplify right side
    23,074.64x = 396,900,192.68
  5. Step 5: Solve for x
    x = 396,900,192.68/23,074.64
  6. Step 6: Final answer
    x = 17,200.71

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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.