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Finding the Fourth Proportional to 20,194.68, 30,245.22 and 19,494.30

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Solution

The fourth proportional to 20,194.68, 30,245.22 and 19,494.30 is: 29,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.68 : 30,245.22 = 19,494.30 : x
  2. Step 2: Convert to fraction form
    20,194.68/30,245.22 = 19,494.30/x
  3. Step 3: Cross multiply
    20,194.68x = 30,245.22 × 19,494.30
  4. Step 4: Simplify right side
    20,194.68x = 589,609,392.25
  5. Step 5: Solve for x
    x = 589,609,392.25/20,194.68
  6. Step 6: Final answer
    x = 29,196.27

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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.