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Finding the Fourth Proportional to 20,565.60, 30,880.80 and 11,817.60

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Solution

The fourth proportional to 20,565.60, 30,880.80 and 11,817.60 is: 17,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.60 : 30,880.80 = 11,817.60 : x
  2. Step 2: Convert to fraction form
    20,565.60/30,880.80 = 11,817.60/x
  3. Step 3: Cross multiply
    20,565.60x = 30,880.80 × 11,817.60
  4. Step 4: Simplify right side
    20,565.60x = 364,936,942.08
  5. Step 5: Solve for x
    x = 364,936,942.08/20,565.60
  6. Step 6: Final answer
    x = 17,745.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.