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Finding the Fourth Proportional to 22,286.24, 30,755.40 and 12,214

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Solution

The fourth proportional to 22,286.24, 30,755.40 and 12,214 is: 16,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,286.24 : 30,755.40 = 12,214 : x
  2. Step 2: Convert to fraction form
    22,286.24/30,755.40 = 12,214/x
  3. Step 3: Cross multiply
    22,286.24x = 30,755.40 × 12,214
  4. Step 4: Simplify right side
    22,286.24x = 375,646,455.60
  5. Step 5: Solve for x
    x = 375,646,455.60/22,286.24
  6. Step 6: Final answer
    x = 16,855.53

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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.