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Finding the Fourth Proportional to 20,584.32, 30,878.28 and 5,793.36

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Solution

The fourth proportional to 20,584.32, 30,878.28 and 5,793.36 is: 8,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.32 : 30,878.28 = 5,793.36 : x
  2. Step 2: Convert to fraction form
    20,584.32/30,878.28 = 5,793.36/x
  3. Step 3: Cross multiply
    20,584.32x = 30,878.28 × 5,793.36
  4. Step 4: Simplify right side
    20,584.32x = 178,888,992.22
  5. Step 5: Solve for x
    x = 178,888,992.22/20,584.32
  6. Step 6: Final answer
    x = 8,690.55

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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.