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Finding the Fourth Proportional to 20,012.20, 30,010.20 and 6,857.80

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Solution

The fourth proportional to 20,012.20, 30,010.20 and 6,857.80 is: 10,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012.20 : 30,010.20 = 6,857.80 : x
  2. Step 2: Convert to fraction form
    20,012.20/30,010.20 = 6,857.80/x
  3. Step 3: Cross multiply
    20,012.20x = 30,010.20 × 6,857.80
  4. Step 4: Simplify right side
    20,012.20x = 205,803,949.56
  5. Step 5: Solve for x
    x = 205,803,949.56/20,012.20
  6. Step 6: Final answer
    x = 10,283.92

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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.