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Finding the Fourth Proportional to 12,244.80, 16,896.32 and 8,274.56

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Solution

The fourth proportional to 12,244.80, 16,896.32 and 8,274.56 is: 11,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,244.80 : 16,896.32 = 8,274.56 : x
  2. Step 2: Convert to fraction form
    12,244.80/16,896.32 = 8,274.56/x
  3. Step 3: Cross multiply
    12,244.80x = 16,896.32 × 8,274.56
  4. Step 4: Simplify right side
    12,244.80x = 139,809,613.62
  5. Step 5: Solve for x
    x = 139,809,613.62/12,244.80
  6. Step 6: Final answer
    x = 11,417.88

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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.