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Finding the Fourth Proportional to 20,138.72, 30,208.10 and 6,991.12

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Solution

The fourth proportional to 20,138.72, 30,208.10 and 6,991.12 is: 10,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.72 : 30,208.10 = 6,991.12 : x
  2. Step 2: Convert to fraction form
    20,138.72/30,208.10 = 6,991.12/x
  3. Step 3: Cross multiply
    20,138.72x = 30,208.10 × 6,991.12
  4. Step 4: Simplify right side
    20,138.72x = 211,188,452.07
  5. Step 5: Solve for x
    x = 211,188,452.07/20,138.72
  6. Step 6: Final answer
    x = 10,486.69

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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.