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Finding the Fourth Proportional to 11,893.64, 16,414.26 and 10,131.08

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Solution

The fourth proportional to 11,893.64, 16,414.26 and 10,131.08 is: 13,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.64 : 16,414.26 = 10,131.08 : x
  2. Step 2: Convert to fraction form
    11,893.64/16,414.26 = 10,131.08/x
  3. Step 3: Cross multiply
    11,893.64x = 16,414.26 × 10,131.08
  4. Step 4: Simplify right side
    11,893.64x = 166,294,181.20
  5. Step 5: Solve for x
    x = 166,294,181.20/11,893.64
  6. Step 6: Final answer
    x = 13,981.77

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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.