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Finding the Fourth Proportional to 20,206.31, 30,290.03 and 10,350.23

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Solution

The fourth proportional to 20,206.31, 30,290.03 and 10,350.23 is: 15,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.31 : 30,290.03 = 10,350.23 : x
  2. Step 2: Convert to fraction form
    20,206.31/30,290.03 = 10,350.23/x
  3. Step 3: Cross multiply
    20,206.31x = 30,290.03 × 10,350.23
  4. Step 4: Simplify right side
    20,206.31x = 313,508,725.46
  5. Step 5: Solve for x
    x = 313,508,725.46/20,206.31
  6. Step 6: Final answer
    x = 15,515.39

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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.