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Finding the Fourth Proportional to 23,033.70, 31,786.92 and 12,825

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Solution

The fourth proportional to 23,033.70, 31,786.92 and 12,825 is: 17,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033.70 : 31,786.92 = 12,825 : x
  2. Step 2: Convert to fraction form
    23,033.70/31,786.92 = 12,825/x
  3. Step 3: Cross multiply
    23,033.70x = 31,786.92 × 12,825
  4. Step 4: Simplify right side
    23,033.70x = 407,667,249
  5. Step 5: Solve for x
    x = 407,667,249/23,033.70
  6. Step 6: Final answer
    x = 17,698.73

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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.