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Finding the Fourth Proportional to 36,286.20, 54,434.16 and 12,912.84

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Solution

The fourth proportional to 36,286.20, 54,434.16 and 12,912.84 is: 19,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,286.20 : 54,434.16 = 12,912.84 : x
  2. Step 2: Convert to fraction form
    36,286.20/54,434.16 = 12,912.84/x
  3. Step 3: Cross multiply
    36,286.20x = 54,434.16 × 12,912.84
  4. Step 4: Simplify right side
    36,286.20x = 702,899,598.61
  5. Step 5: Solve for x
    x = 702,899,598.61/36,286.20
  6. Step 6: Final answer
    x = 19,370.99

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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.