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Finding the Fourth Proportional to 20,426.38, 30,637.24 and 7,096.82

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Solution

The fourth proportional to 20,426.38, 30,637.24 and 7,096.82 is: 10,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,426.38 : 30,637.24 = 7,096.82 : x
  2. Step 2: Convert to fraction form
    20,426.38/30,637.24 = 7,096.82/x
  3. Step 3: Cross multiply
    20,426.38x = 30,637.24 × 7,096.82
  4. Step 4: Simplify right side
    20,426.38x = 217,426,806.65
  5. Step 5: Solve for x
    x = 217,426,806.65/20,426.38
  6. Step 6: Final answer
    x = 10,644.41

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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.