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Finding the Fourth Proportional to 20,271.60, 30,385.80 and 7,786.80

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Solution

The fourth proportional to 20,271.60, 30,385.80 and 7,786.80 is: 11,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.60 : 30,385.80 = 7,786.80 : x
  2. Step 2: Convert to fraction form
    20,271.60/30,385.80 = 7,786.80/x
  3. Step 3: Cross multiply
    20,271.60x = 30,385.80 × 7,786.80
  4. Step 4: Simplify right side
    20,271.60x = 236,608,147.44
  5. Step 5: Solve for x
    x = 236,608,147.44/20,271.60
  6. Step 6: Final answer
    x = 11,671.90

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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.