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Finding the Fourth Proportional to 22,297.86, 30,772.02 and 13,343.66

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Solution

The fourth proportional to 22,297.86, 30,772.02 and 13,343.66 is: 18,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.86 : 30,772.02 = 13,343.66 : x
  2. Step 2: Convert to fraction form
    22,297.86/30,772.02 = 13,343.66/x
  3. Step 3: Cross multiply
    22,297.86x = 30,772.02 × 13,343.66
  4. Step 4: Simplify right side
    22,297.86x = 410,611,372.39
  5. Step 5: Solve for x
    x = 410,611,372.39/22,297.86
  6. Step 6: Final answer
    x = 18,414.83

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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.