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Finding the Fourth Proportional to 20,512.74, 30,770.22 and 6,473.18

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Solution

The fourth proportional to 20,512.74, 30,770.22 and 6,473.18 is: 9,710.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.74 : 30,770.22 = 6,473.18 : x
  2. Step 2: Convert to fraction form
    20,512.74/30,770.22 = 6,473.18/x
  3. Step 3: Cross multiply
    20,512.74x = 30,770.22 × 6,473.18
  4. Step 4: Simplify right side
    20,512.74x = 199,181,172.70
  5. Step 5: Solve for x
    x = 199,181,172.70/20,512.74
  6. Step 6: Final answer
    x = 9,710.12

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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.