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Finding the Fourth Proportional to 12,314.25, 16,993.67 and 6,725.25

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Solution

The fourth proportional to 12,314.25, 16,993.67 and 6,725.25 is: 9,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.25 : 16,993.67 = 6,725.25 : x
  2. Step 2: Convert to fraction form
    12,314.25/16,993.67 = 6,725.25/x
  3. Step 3: Cross multiply
    12,314.25x = 16,993.67 × 6,725.25
  4. Step 4: Simplify right side
    12,314.25x = 114,286,645.54
  5. Step 5: Solve for x
    x = 114,286,645.54/12,314.25
  6. Step 6: Final answer
    x = 9,280.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.