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Finding the Fourth Proportional to 20,194.90, 30,268.05 and 10,329.10

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Solution

The fourth proportional to 20,194.90, 30,268.05 and 10,329.10 is: 15,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.90 : 30,268.05 = 10,329.10 : x
  2. Step 2: Convert to fraction form
    20,194.90/30,268.05 = 10,329.10/x
  3. Step 3: Cross multiply
    20,194.90x = 30,268.05 × 10,329.10
  4. Step 4: Simplify right side
    20,194.90x = 312,641,715.26
  5. Step 5: Solve for x
    x = 312,641,715.26/20,194.90
  6. Step 6: Final answer
    x = 15,481.22

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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.