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Finding the Fourth Proportional to 12,661.38, 18,992.08 and 3,427.38

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Solution

The fourth proportional to 12,661.38, 18,992.08 and 3,427.38 is: 5,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.38 : 18,992.08 = 3,427.38 : x
  2. Step 2: Convert to fraction form
    12,661.38/18,992.08 = 3,427.38/x
  3. Step 3: Cross multiply
    12,661.38x = 18,992.08 × 3,427.38
  4. Step 4: Simplify right side
    12,661.38x = 65,093,075.15
  5. Step 5: Solve for x
    x = 65,093,075.15/12,661.38
  6. Step 6: Final answer
    x = 5,141.07

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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.