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Finding the Fourth Proportional to 12,314.25, 18,477.72 and 6,771.96

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Solution

The fourth proportional to 12,314.25, 18,477.72 and 6,771.96 is: 10,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.25 : 18,477.72 = 6,771.96 : x
  2. Step 2: Convert to fraction form
    12,314.25/18,477.72 = 6,771.96/x
  3. Step 3: Cross multiply
    12,314.25x = 18,477.72 × 6,771.96
  4. Step 4: Simplify right side
    12,314.25x = 125,130,380.73
  5. Step 5: Solve for x
    x = 125,130,380.73/12,314.25
  6. Step 6: Final answer
    x = 10,161.43

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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.