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Finding the Fourth Proportional to 12,268.63, 16,930.06 and 6,965.16

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Solution

The fourth proportional to 12,268.63, 16,930.06 and 6,965.16 is: 9,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.63 : 16,930.06 = 6,965.16 : x
  2. Step 2: Convert to fraction form
    12,268.63/16,930.06 = 6,965.16/x
  3. Step 3: Cross multiply
    12,268.63x = 16,930.06 × 6,965.16
  4. Step 4: Simplify right side
    12,268.63x = 117,920,576.71
  5. Step 5: Solve for x
    x = 117,920,576.71/12,268.63
  6. Step 6: Final answer
    x = 9,611.55

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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.