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Finding the Fourth Proportional to 12,295.75, 16,968.15 and 6,706.75

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Solution

The fourth proportional to 12,295.75, 16,968.15 and 6,706.75 is: 9,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.75 : 16,968.15 = 6,706.75 : x
  2. Step 2: Convert to fraction form
    12,295.75/16,968.15 = 6,706.75/x
  3. Step 3: Cross multiply
    12,295.75x = 16,968.15 × 6,706.75
  4. Step 4: Simplify right side
    12,295.75x = 113,801,140.01
  5. Step 5: Solve for x
    x = 113,801,140.01/12,295.75
  6. Step 6: Final answer
    x = 9,255.32

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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.