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Finding the Fourth Proportional to 22,716.50, 31,348.76 and 12,644.72

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Solution

The fourth proportional to 22,716.50, 31,348.76 and 12,644.72 is: 17,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.50 : 31,348.76 = 12,644.72 : x
  2. Step 2: Convert to fraction form
    22,716.50/31,348.76 = 12,644.72/x
  3. Step 3: Cross multiply
    22,716.50x = 31,348.76 × 12,644.72
  4. Step 4: Simplify right side
    22,716.50x = 396,396,292.55
  5. Step 5: Solve for x
    x = 396,396,292.55/22,716.50
  6. Step 6: Final answer
    x = 17,449.71

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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.