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Finding the Fourth Proportional to 20,314.88, 30,474.78 and 7,164.56

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Solution

The fourth proportional to 20,314.88, 30,474.78 and 7,164.56 is: 10,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.88 : 30,474.78 = 7,164.56 : x
  2. Step 2: Convert to fraction form
    20,314.88/30,474.78 = 7,164.56/x
  3. Step 3: Cross multiply
    20,314.88x = 30,474.78 × 7,164.56
  4. Step 4: Simplify right side
    20,314.88x = 218,338,389.80
  5. Step 5: Solve for x
    x = 218,338,389.80/20,314.88
  6. Step 6: Final answer
    x = 10,747.71

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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.