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Finding the Fourth Proportional to 20,419.80, 30,630.48 and 6,381.12

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Solution

The fourth proportional to 20,419.80, 30,630.48 and 6,381.12 is: 9,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.80 : 30,630.48 = 6,381.12 : x
  2. Step 2: Convert to fraction form
    20,419.80/30,630.48 = 6,381.12/x
  3. Step 3: Cross multiply
    20,419.80x = 30,630.48 × 6,381.12
  4. Step 4: Simplify right side
    20,419.80x = 195,456,768.54
  5. Step 5: Solve for x
    x = 195,456,768.54/20,419.80
  6. Step 6: Final answer
    x = 9,571.92

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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.