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Finding the Fourth Proportional to 20,529.60, 30,772.80 and 8,044.80

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Solution

The fourth proportional to 20,529.60, 30,772.80 and 8,044.80 is: 12,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,529.60 : 30,772.80 = 8,044.80 : x
  2. Step 2: Convert to fraction form
    20,529.60/30,772.80 = 8,044.80/x
  3. Step 3: Cross multiply
    20,529.60x = 30,772.80 × 8,044.80
  4. Step 4: Simplify right side
    20,529.60x = 247,561,021.44
  5. Step 5: Solve for x
    x = 247,561,021.44/20,529.60
  6. Step 6: Final answer
    x = 12,058.74

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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.