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Finding the Fourth Proportional to 20,525.76, 30,783.36 and 8,046.24

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Solution

The fourth proportional to 20,525.76, 30,783.36 and 8,046.24 is: 12,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,525.76 : 30,783.36 = 8,046.24 : x
  2. Step 2: Convert to fraction form
    20,525.76/30,783.36 = 8,046.24/x
  3. Step 3: Cross multiply
    20,525.76x = 30,783.36 × 8,046.24
  4. Step 4: Simplify right side
    20,525.76x = 247,690,302.57
  5. Step 5: Solve for x
    x = 247,690,302.57/20,525.76
  6. Step 6: Final answer
    x = 12,067.29

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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.