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Finding the Fourth Proportional to 18,486.14, 25,511.91 and 12,194.06

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Solution

The fourth proportional to 18,486.14, 25,511.91 and 12,194.06 is: 16,828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486.14 : 25,511.91 = 12,194.06 : x
  2. Step 2: Convert to fraction form
    18,486.14/25,511.91 = 12,194.06/x
  3. Step 3: Cross multiply
    18,486.14x = 25,511.91 × 12,194.06
  4. Step 4: Simplify right side
    18,486.14x = 311,093,761.25
  5. Step 5: Solve for x
    x = 311,093,761.25/18,486.14
  6. Step 6: Final answer
    x = 16,828.49

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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.