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Finding the Fourth Proportional to 20,272.88, 30,409.32 and 16,194.80

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Solution

The fourth proportional to 20,272.88, 30,409.32 and 16,194.80 is: 24,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272.88 : 30,409.32 = 16,194.80 : x
  2. Step 2: Convert to fraction form
    20,272.88/30,409.32 = 16,194.80/x
  3. Step 3: Cross multiply
    20,272.88x = 30,409.32 × 16,194.80
  4. Step 4: Simplify right side
    20,272.88x = 492,472,855.54
  5. Step 5: Solve for x
    x = 492,472,855.54/20,272.88
  6. Step 6: Final answer
    x = 24,292.20

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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.