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Finding the Fourth Proportional to 20,638.19, 30,958.09 and 6,408.14

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Solution

The fourth proportional to 20,638.19, 30,958.09 and 6,408.14 is: 9,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.19 : 30,958.09 = 6,408.14 : x
  2. Step 2: Convert to fraction form
    20,638.19/30,958.09 = 6,408.14/x
  3. Step 3: Cross multiply
    20,638.19x = 30,958.09 × 6,408.14
  4. Step 4: Simplify right side
    20,638.19x = 198,383,859.44
  5. Step 5: Solve for x
    x = 198,383,859.44/20,638.19
  6. Step 6: Final answer
    x = 9,612.46

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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.