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Finding the Fourth Proportional to 20,575.76, 30,863.50 and 5,784.58

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Solution

The fourth proportional to 20,575.76, 30,863.50 and 5,784.58 is: 8,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.76 : 30,863.50 = 5,784.58 : x
  2. Step 2: Convert to fraction form
    20,575.76/30,863.50 = 5,784.58/x
  3. Step 3: Cross multiply
    20,575.76x = 30,863.50 × 5,784.58
  4. Step 4: Simplify right side
    20,575.76x = 178,532,384.83
  5. Step 5: Solve for x
    x = 178,532,384.83/20,575.76
  6. Step 6: Final answer
    x = 8,676.83

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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.