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Finding the Fourth Proportional to 20,127.42, 30,191.52 and 6,980.22

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Solution

The fourth proportional to 20,127.42, 30,191.52 and 6,980.22 is: 10,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.42 : 30,191.52 = 6,980.22 : x
  2. Step 2: Convert to fraction form
    20,127.42/30,191.52 = 6,980.22/x
  3. Step 3: Cross multiply
    20,127.42x = 30,191.52 × 6,980.22
  4. Step 4: Simplify right side
    20,127.42x = 210,743,451.73
  5. Step 5: Solve for x
    x = 210,743,451.73/20,127.42
  6. Step 6: Final answer
    x = 10,470.47

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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.