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Finding the Fourth Proportional to 20,119.32, 30,172.32 and 7,638.84

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Solution

The fourth proportional to 20,119.32, 30,172.32 and 7,638.84 is: 11,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.32 : 30,172.32 = 7,638.84 : x
  2. Step 2: Convert to fraction form
    20,119.32/30,172.32 = 7,638.84/x
  3. Step 3: Cross multiply
    20,119.32x = 30,172.32 × 7,638.84
  4. Step 4: Simplify right side
    20,119.32x = 230,481,524.91
  5. Step 5: Solve for x
    x = 230,481,524.91/20,119.32
  6. Step 6: Final answer
    x = 11,455.73

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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.