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Finding the Fourth Proportional to 22,841.68, 31,524.41 and 12,770.71

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Solution

The fourth proportional to 22,841.68, 31,524.41 and 12,770.71 is: 17,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.68 : 31,524.41 = 12,770.71 : x
  2. Step 2: Convert to fraction form
    22,841.68/31,524.41 = 12,770.71/x
  3. Step 3: Cross multiply
    22,841.68x = 31,524.41 × 12,770.71
  4. Step 4: Simplify right side
    22,841.68x = 402,589,183.57
  5. Step 5: Solve for x
    x = 402,589,183.57/22,841.68
  6. Step 6: Final answer
    x = 17,625.20

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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.