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Finding the Fourth Proportional to 20,424.75, 30,639.25 and 5,633.67

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Solution

The fourth proportional to 20,424.75, 30,639.25 and 5,633.67 is: 8,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424.75 : 30,639.25 = 5,633.67 : x
  2. Step 2: Convert to fraction form
    20,424.75/30,639.25 = 5,633.67/x
  3. Step 3: Cross multiply
    20,424.75x = 30,639.25 × 5,633.67
  4. Step 4: Simplify right side
    20,424.75x = 172,611,423.55
  5. Step 5: Solve for x
    x = 172,611,423.55/20,424.75
  6. Step 6: Final answer
    x = 8,451.09

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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.