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Finding the Fourth Proportional to 20,198.34, 30,295.08 and 5,408.40

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Solution

The fourth proportional to 20,198.34, 30,295.08 and 5,408.40 is: 8,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.34 : 30,295.08 = 5,408.40 : x
  2. Step 2: Convert to fraction form
    20,198.34/30,295.08 = 5,408.40/x
  3. Step 3: Cross multiply
    20,198.34x = 30,295.08 × 5,408.40
  4. Step 4: Simplify right side
    20,198.34x = 163,847,910.67
  5. Step 5: Solve for x
    x = 163,847,910.67/20,198.34
  6. Step 6: Final answer
    x = 8,111.95

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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.