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Finding the Fourth Proportional to 20,048.14, 30,072.21 and 6,197.14

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Solution

The fourth proportional to 20,048.14, 30,072.21 and 6,197.14 is: 9,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.14 : 30,072.21 = 6,197.14 : x
  2. Step 2: Convert to fraction form
    20,048.14/30,072.21 = 6,197.14/x
  3. Step 3: Cross multiply
    20,048.14x = 30,072.21 × 6,197.14
  4. Step 4: Simplify right side
    20,048.14x = 186,361,695.48
  5. Step 5: Solve for x
    x = 186,361,695.48/20,048.14
  6. Step 6: Final answer
    x = 9,295.71

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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.