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Finding the Fourth Proportional to 20,138.60, 30,212.10 and 6,099.64

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Solution

The fourth proportional to 20,138.60, 30,212.10 and 6,099.64 is: 9,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.60 : 30,212.10 = 6,099.64 : x
  2. Step 2: Convert to fraction form
    20,138.60/30,212.10 = 6,099.64/x
  3. Step 3: Cross multiply
    20,138.60x = 30,212.10 × 6,099.64
  4. Step 4: Simplify right side
    20,138.60x = 184,282,933.64
  5. Step 5: Solve for x
    x = 184,282,933.64/20,138.60
  6. Step 6: Final answer
    x = 9,150.73

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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.