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Finding the Fourth Proportional to 20,242.14, 30,366.82 and 6,201.88

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Solution

The fourth proportional to 20,242.14, 30,366.82 and 6,201.88 is: 9,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.14 : 30,366.82 = 6,201.88 : x
  2. Step 2: Convert to fraction form
    20,242.14/30,366.82 = 6,201.88/x
  3. Step 3: Cross multiply
    20,242.14x = 30,366.82 × 6,201.88
  4. Step 4: Simplify right side
    20,242.14x = 188,331,373.62
  5. Step 5: Solve for x
    x = 188,331,373.62/20,242.14
  6. Step 6: Final answer
    x = 9,303.93

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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.