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Finding the Fourth Proportional to 21,735.20, 32,672.40 and 20,194.40

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Solution

The fourth proportional to 21,735.20, 32,672.40 and 20,194.40 is: 30,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.20 : 32,672.40 = 20,194.40 : x
  2. Step 2: Convert to fraction form
    21,735.20/32,672.40 = 20,194.40/x
  3. Step 3: Cross multiply
    21,735.20x = 32,672.40 × 20,194.40
  4. Step 4: Simplify right side
    21,735.20x = 659,799,514.56
  5. Step 5: Solve for x
    x = 659,799,514.56/21,735.20
  6. Step 6: Final answer
    x = 30,356.27

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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.