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Finding the Fourth Proportional to 11,917.64, 16,432.32 and 9,672.44

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Solution

The fourth proportional to 11,917.64, 16,432.32 and 9,672.44 is: 13,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.64 : 16,432.32 = 9,672.44 : x
  2. Step 2: Convert to fraction form
    11,917.64/16,432.32 = 9,672.44/x
  3. Step 3: Cross multiply
    11,917.64x = 16,432.32 × 9,672.44
  4. Step 4: Simplify right side
    11,917.64x = 158,940,629.26
  5. Step 5: Solve for x
    x = 158,940,629.26/11,917.64
  6. Step 6: Final answer
    x = 13,336.59

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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.