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Finding the Fourth Proportional to 31,856.26, 43,957.81 and 17,513.73

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Solution

The fourth proportional to 31,856.26, 43,957.81 and 17,513.73 is: 24,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856.26 : 43,957.81 = 17,513.73 : x
  2. Step 2: Convert to fraction form
    31,856.26/43,957.81 = 17,513.73/x
  3. Step 3: Cross multiply
    31,856.26x = 43,957.81 × 17,513.73
  4. Step 4: Simplify right side
    31,856.26x = 769,865,215.73
  5. Step 5: Solve for x
    x = 769,865,215.73/31,856.26
  6. Step 6: Final answer
    x = 24,166.84

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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.