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Finding the Fourth Proportional to 20,273.25, 30,409.89 and 6,422.25

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Solution

The fourth proportional to 20,273.25, 30,409.89 and 6,422.25 is: 9,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,273.25 : 30,409.89 = 6,422.25 : x
  2. Step 2: Convert to fraction form
    20,273.25/30,409.89 = 6,422.25/x
  3. Step 3: Cross multiply
    20,273.25x = 30,409.89 × 6,422.25
  4. Step 4: Simplify right side
    20,273.25x = 195,299,916.05
  5. Step 5: Solve for x
    x = 195,299,916.05/20,273.25
  6. Step 6: Final answer
    x = 9,633.38

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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.