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Finding the Fourth Proportional to 20,197.91, 30,294.72 and 5,408.32

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Solution

The fourth proportional to 20,197.91, 30,294.72 and 5,408.32 is: 8,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.91 : 30,294.72 = 5,408.32 : x
  2. Step 2: Convert to fraction form
    20,197.91/30,294.72 = 5,408.32/x
  3. Step 3: Cross multiply
    20,197.91x = 30,294.72 × 5,408.32
  4. Step 4: Simplify right side
    20,197.91x = 163,843,540.07
  5. Step 5: Solve for x
    x = 163,843,540.07/20,197.91
  6. Step 6: Final answer
    x = 8,111.91

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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.