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Finding the Fourth Proportional to 13,761.66, 18,917.94 and 11,840.40

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Solution

The fourth proportional to 13,761.66, 18,917.94 and 11,840.40 is: 16,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.66 : 18,917.94 = 11,840.40 : x
  2. Step 2: Convert to fraction form
    13,761.66/18,917.94 = 11,840.40/x
  3. Step 3: Cross multiply
    13,761.66x = 18,917.94 × 11,840.40
  4. Step 4: Simplify right side
    13,761.66x = 223,995,976.78
  5. Step 5: Solve for x
    x = 223,995,976.78/13,761.66
  6. Step 6: Final answer
    x = 16,276.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.