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Finding the Fourth Proportional to 11,796.36, 16,302.32 and 9,668.54

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Solution

The fourth proportional to 11,796.36, 16,302.32 and 9,668.54 is: 13,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.36 : 16,302.32 = 9,668.54 : x
  2. Step 2: Convert to fraction form
    11,796.36/16,302.32 = 9,668.54/x
  3. Step 3: Cross multiply
    11,796.36x = 16,302.32 × 9,668.54
  4. Step 4: Simplify right side
    11,796.36x = 157,619,633.01
  5. Step 5: Solve for x
    x = 157,619,633.01/11,796.36
  6. Step 6: Final answer
    x = 13,361.72

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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.