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Finding the Fourth Proportional to 12,311.39, 18,470.25 and 3,546.99

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Solution

The fourth proportional to 12,311.39, 18,470.25 and 3,546.99 is: 5,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.39 : 18,470.25 = 3,546.99 : x
  2. Step 2: Convert to fraction form
    12,311.39/18,470.25 = 3,546.99/x
  3. Step 3: Cross multiply
    12,311.39x = 18,470.25 × 3,546.99
  4. Step 4: Simplify right side
    12,311.39x = 65,513,792.05
  5. Step 5: Solve for x
    x = 65,513,792.05/12,311.39
  6. Step 6: Final answer
    x = 5,321.40

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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.