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Finding the Fourth Proportional to 20,138.42, 30,207.94 and 6,991.11

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Solution

The fourth proportional to 20,138.42, 30,207.94 and 6,991.11 is: 10,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.42 : 30,207.94 = 6,991.11 : x
  2. Step 2: Convert to fraction form
    20,138.42/30,207.94 = 6,991.11/x
  3. Step 3: Cross multiply
    20,138.42x = 30,207.94 × 6,991.11
  4. Step 4: Simplify right side
    20,138.42x = 211,187,013.94
  5. Step 5: Solve for x
    x = 211,187,013.94/20,138.42
  6. Step 6: Final answer
    x = 10,486.77

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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.