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Finding the Fourth Proportional to 24,286.25, 36,405.06 and 9,474.79

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Solution

The fourth proportional to 24,286.25, 36,405.06 and 9,474.79 is: 14,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.25 : 36,405.06 = 9,474.79 : x
  2. Step 2: Convert to fraction form
    24,286.25/36,405.06 = 9,474.79/x
  3. Step 3: Cross multiply
    24,286.25x = 36,405.06 × 9,474.79
  4. Step 4: Simplify right side
    24,286.25x = 344,930,251.06
  5. Step 5: Solve for x
    x = 344,930,251.06/24,286.25
  6. Step 6: Final answer
    x = 14,202.70

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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.