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Finding the Fourth Proportional to 20,224.31, 30,314.54 and 10,350.05

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Solution

The fourth proportional to 20,224.31, 30,314.54 and 10,350.05 is: 15,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.31 : 30,314.54 = 10,350.05 : x
  2. Step 2: Convert to fraction form
    20,224.31/30,314.54 = 10,350.05/x
  3. Step 3: Cross multiply
    20,224.31x = 30,314.54 × 10,350.05
  4. Step 4: Simplify right side
    20,224.31x = 313,756,879.03
  5. Step 5: Solve for x
    x = 313,756,879.03/20,224.31
  6. Step 6: Final answer
    x = 15,513.85

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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.