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Finding the Fourth Proportional to 19,735.30, 29,601.60 and 6,408.10

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Solution

The fourth proportional to 19,735.30, 29,601.60 and 6,408.10 is: 9,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.30 : 29,601.60 = 6,408.10 : x
  2. Step 2: Convert to fraction form
    19,735.30/29,601.60 = 6,408.10/x
  3. Step 3: Cross multiply
    19,735.30x = 29,601.60 × 6,408.10
  4. Step 4: Simplify right side
    19,735.30x = 189,690,012.96
  5. Step 5: Solve for x
    x = 189,690,012.96/19,735.30
  6. Step 6: Final answer
    x = 9,611.71

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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.