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Finding the Fourth Proportional to 12,086.14, 18,121.80 and 11,054.82

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Solution

The fourth proportional to 12,086.14, 18,121.80 and 11,054.82 is: 16,575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.14 : 18,121.80 = 11,054.82 : x
  2. Step 2: Convert to fraction form
    12,086.14/18,121.80 = 11,054.82/x
  3. Step 3: Cross multiply
    12,086.14x = 18,121.80 × 11,054.82
  4. Step 4: Simplify right side
    12,086.14x = 200,333,237.08
  5. Step 5: Solve for x
    x = 200,333,237.08/12,086.14
  6. Step 6: Final answer
    x = 16,575.45

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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.