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Finding the Fourth Proportional to 22,714.71, 34,072.19 and 20,227.42

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Solution

The fourth proportional to 22,714.71, 34,072.19 and 20,227.42 is: 30,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.71 : 34,072.19 = 20,227.42 : x
  2. Step 2: Convert to fraction form
    22,714.71/34,072.19 = 20,227.42/x
  3. Step 3: Cross multiply
    22,714.71x = 34,072.19 × 20,227.42
  4. Step 4: Simplify right side
    22,714.71x = 689,192,396.31
  5. Step 5: Solve for x
    x = 689,192,396.31/22,714.71
  6. Step 6: Final answer
    x = 30,341.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.