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Finding the Fourth Proportional to 20,751.93, 31,112.79 and 8,268.21

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Solution

The fourth proportional to 20,751.93, 31,112.79 and 8,268.21 is: 12,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,751.93 : 31,112.79 = 8,268.21 : x
  2. Step 2: Convert to fraction form
    20,751.93/31,112.79 = 8,268.21/x
  3. Step 3: Cross multiply
    20,751.93x = 31,112.79 × 8,268.21
  4. Step 4: Simplify right side
    20,751.93x = 257,247,081.41
  5. Step 5: Solve for x
    x = 257,247,081.41/20,751.93
  6. Step 6: Final answer
    x = 12,396.30

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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.