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Finding the Fourth Proportional to 20,575.45, 30,863.19 and 5,784.38

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Solution

The fourth proportional to 20,575.45, 30,863.19 and 5,784.38 is: 8,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.45 : 30,863.19 = 5,784.38 : x
  2. Step 2: Convert to fraction form
    20,575.45/30,863.19 = 5,784.38/x
  3. Step 3: Cross multiply
    20,575.45x = 30,863.19 × 5,784.38
  4. Step 4: Simplify right side
    20,575.45x = 178,524,235.73
  5. Step 5: Solve for x
    x = 178,524,235.73/20,575.45
  6. Step 6: Final answer
    x = 8,676.56

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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.