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Finding the Fourth Proportional to 20,472.20, 30,704.86 and 5,682.62

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Solution

The fourth proportional to 20,472.20, 30,704.86 and 5,682.62 is: 8,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.20 : 30,704.86 = 5,682.62 : x
  2. Step 2: Convert to fraction form
    20,472.20/30,704.86 = 5,682.62/x
  3. Step 3: Cross multiply
    20,472.20x = 30,704.86 × 5,682.62
  4. Step 4: Simplify right side
    20,472.20x = 174,484,051.53
  5. Step 5: Solve for x
    x = 174,484,051.53/20,472.20
  6. Step 6: Final answer
    x = 8,522.98

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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.