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Finding the Fourth Proportional to 20,187.97, 30,282.06 and 6,148.12

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Solution

The fourth proportional to 20,187.97, 30,282.06 and 6,148.12 is: 9,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187.97 : 30,282.06 = 6,148.12 : x
  2. Step 2: Convert to fraction form
    20,187.97/30,282.06 = 6,148.12/x
  3. Step 3: Cross multiply
    20,187.97x = 30,282.06 × 6,148.12
  4. Step 4: Simplify right side
    20,187.97x = 186,177,738.73
  5. Step 5: Solve for x
    x = 186,177,738.73/20,187.97
  6. Step 6: Final answer
    x = 9,222.21

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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.