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Finding the Fourth Proportional to 12,270.26, 16,933.48 and 6,965.57

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Solution

The fourth proportional to 12,270.26, 16,933.48 and 6,965.57 is: 9,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.26 : 16,933.48 = 6,965.57 : x
  2. Step 2: Convert to fraction form
    12,270.26/16,933.48 = 6,965.57/x
  3. Step 3: Cross multiply
    12,270.26x = 16,933.48 × 6,965.57
  4. Step 4: Simplify right side
    12,270.26x = 117,951,340.28
  5. Step 5: Solve for x
    x = 117,951,340.28/12,270.26
  6. Step 6: Final answer
    x = 9,612.78

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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.