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Finding the Fourth Proportional to 12,268.53, 16,913.57 and 8,283.33

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Solution

The fourth proportional to 12,268.53, 16,913.57 and 8,283.33 is: 11,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.53 : 16,913.57 = 8,283.33 : x
  2. Step 2: Convert to fraction form
    12,268.53/16,913.57 = 8,283.33/x
  3. Step 3: Cross multiply
    12,268.53x = 16,913.57 × 8,283.33
  4. Step 4: Simplify right side
    12,268.53x = 140,100,640.37
  5. Step 5: Solve for x
    x = 140,100,640.37/12,268.53
  6. Step 6: Final answer
    x = 11,419.51

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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.