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Finding the Fourth Proportional to 11,914.12, 16,431.42 and 11,257.48

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Solution

The fourth proportional to 11,914.12, 16,431.42 and 11,257.48 is: 15,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.12 : 16,431.42 = 11,257.48 : x
  2. Step 2: Convert to fraction form
    11,914.12/16,431.42 = 11,257.48/x
  3. Step 3: Cross multiply
    11,914.12x = 16,431.42 × 11,257.48
  4. Step 4: Simplify right side
    11,914.12x = 184,976,382.02
  5. Step 5: Solve for x
    x = 184,976,382.02/11,914.12
  6. Step 6: Final answer
    x = 15,525.81

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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.