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Finding the Fourth Proportional to 20,601.60, 30,880.80 and 8,116.80

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Solution

The fourth proportional to 20,601.60, 30,880.80 and 8,116.80 is: 12,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,601.60 : 30,880.80 = 8,116.80 : x
  2. Step 2: Convert to fraction form
    20,601.60/30,880.80 = 8,116.80/x
  3. Step 3: Cross multiply
    20,601.60x = 30,880.80 × 8,116.80
  4. Step 4: Simplify right side
    20,601.60x = 250,653,277.44
  5. Step 5: Solve for x
    x = 250,653,277.44/20,601.60
  6. Step 6: Final answer
    x = 12,166.69

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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.