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Finding the Fourth Proportional to 20,205.73, 30,314.80 and 10,351.93

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Solution

The fourth proportional to 20,205.73, 30,314.80 and 10,351.93 is: 15,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.73 : 30,314.80 = 10,351.93 : x
  2. Step 2: Convert to fraction form
    20,205.73/30,314.80 = 10,351.93/x
  3. Step 3: Cross multiply
    20,205.73x = 30,314.80 × 10,351.93
  4. Step 4: Simplify right side
    20,205.73x = 313,816,687.56
  5. Step 5: Solve for x
    x = 313,816,687.56/20,205.73
  6. Step 6: Final answer
    x = 15,531.07

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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.