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Finding the Fourth Proportional to 20,311.94, 30,467.85 and 7,161.14

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Solution

The fourth proportional to 20,311.94, 30,467.85 and 7,161.14 is: 10,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,311.94 : 30,467.85 = 7,161.14 : x
  2. Step 2: Convert to fraction form
    20,311.94/30,467.85 = 7,161.14/x
  3. Step 3: Cross multiply
    20,311.94x = 30,467.85 × 7,161.14
  4. Step 4: Simplify right side
    20,311.94x = 218,184,539.35
  5. Step 5: Solve for x
    x = 218,184,539.35/20,311.94
  6. Step 6: Final answer
    x = 10,741.69

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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.