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Finding the Fourth Proportional to 12,314.34, 18,470.79 and 3,993.66

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Solution

The fourth proportional to 12,314.34, 18,470.79 and 3,993.66 is: 5,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.34 : 18,470.79 = 3,993.66 : x
  2. Step 2: Convert to fraction form
    12,314.34/18,470.79 = 3,993.66/x
  3. Step 3: Cross multiply
    12,314.34x = 18,470.79 × 3,993.66
  4. Step 4: Simplify right side
    12,314.34x = 73,766,055.19
  5. Step 5: Solve for x
    x = 73,766,055.19/12,314.34
  6. Step 6: Final answer
    x = 5,990.26

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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.