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Finding the Fourth Proportional to 12,188.64, 18,163.05 and 11,791.74

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Solution

The fourth proportional to 12,188.64, 18,163.05 and 11,791.74 is: 17,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.64 : 18,163.05 = 11,791.74 : x
  2. Step 2: Convert to fraction form
    12,188.64/18,163.05 = 11,791.74/x
  3. Step 3: Cross multiply
    12,188.64x = 18,163.05 × 11,791.74
  4. Step 4: Simplify right side
    12,188.64x = 214,173,963.21
  5. Step 5: Solve for x
    x = 214,173,963.21/12,188.64
  6. Step 6: Final answer
    x = 17,571.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.