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Finding the Fourth Proportional to 20,046.97, 30,069.83 and 9,524.56

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Solution

The fourth proportional to 20,046.97, 30,069.83 and 9,524.56 is: 14,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.97 : 30,069.83 = 9,524.56 : x
  2. Step 2: Convert to fraction form
    20,046.97/30,069.83 = 9,524.56/x
  3. Step 3: Cross multiply
    20,046.97x = 30,069.83 × 9,524.56
  4. Step 4: Simplify right side
    20,046.97x = 286,401,989.61
  5. Step 5: Solve for x
    x = 286,401,989.61/20,046.97
  6. Step 6: Final answer
    x = 14,286.55

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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.