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Finding the Fourth Proportional to 20,438.62, 30,653.07 and 5,647.21

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Solution

The fourth proportional to 20,438.62, 30,653.07 and 5,647.21 is: 8,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.62 : 30,653.07 = 5,647.21 : x
  2. Step 2: Convert to fraction form
    20,438.62/30,653.07 = 5,647.21/x
  3. Step 3: Cross multiply
    20,438.62x = 30,653.07 × 5,647.21
  4. Step 4: Simplify right side
    20,438.62x = 173,104,323.43
  5. Step 5: Solve for x
    x = 173,104,323.43/20,438.62
  6. Step 6: Final answer
    x = 8,469.47

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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.