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Finding the Fourth Proportional to 20,424.80, 30,634.20 and 6,381.56

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Solution

The fourth proportional to 20,424.80, 30,634.20 and 6,381.56 is: 9,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424.80 : 30,634.20 = 6,381.56 : x
  2. Step 2: Convert to fraction form
    20,424.80/30,634.20 = 6,381.56/x
  3. Step 3: Cross multiply
    20,424.80x = 30,634.20 × 6,381.56
  4. Step 4: Simplify right side
    20,424.80x = 195,493,985.35
  5. Step 5: Solve for x
    x = 195,493,985.35/20,424.80
  6. Step 6: Final answer
    x = 9,571.40

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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.