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Finding the Fourth Proportional to 23,067.42, 31,833.04 and 12,457.05

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Solution

The fourth proportional to 23,067.42, 31,833.04 and 12,457.05 is: 17,190.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,067.42 : 31,833.04 = 12,457.05 : x
  2. Step 2: Convert to fraction form
    23,067.42/31,833.04 = 12,457.05/x
  3. Step 3: Cross multiply
    23,067.42x = 31,833.04 × 12,457.05
  4. Step 4: Simplify right side
    23,067.42x = 396,545,786.50
  5. Step 5: Solve for x
    x = 396,545,786.50/23,067.42
  6. Step 6: Final answer
    x = 17,190.73

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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.