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Finding the Fourth Proportional to 12,188.66, 18,290.27 and 11,197.22

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Solution

The fourth proportional to 12,188.66, 18,290.27 and 11,197.22 is: 16,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.66 : 18,290.27 = 11,197.22 : x
  2. Step 2: Convert to fraction form
    12,188.66/18,290.27 = 11,197.22/x
  3. Step 3: Cross multiply
    12,188.66x = 18,290.27 × 11,197.22
  4. Step 4: Simplify right side
    12,188.66x = 204,800,177.05
  5. Step 5: Solve for x
    x = 204,800,177.05/12,188.66
  6. Step 6: Final answer
    x = 16,802.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.