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Finding the Fourth Proportional to 20,206.49, 30,262.73 and 19,505.70

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Solution

The fourth proportional to 20,206.49, 30,262.73 and 19,505.70 is: 29,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.49 : 30,262.73 = 19,505.70 : x
  2. Step 2: Convert to fraction form
    20,206.49/30,262.73 = 19,505.70/x
  3. Step 3: Cross multiply
    20,206.49x = 30,262.73 × 19,505.70
  4. Step 4: Simplify right side
    20,206.49x = 590,295,635.03
  5. Step 5: Solve for x
    x = 590,295,635.03/20,206.49
  6. Step 6: Final answer
    x = 29,213.18

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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.