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Finding the Fourth Proportional to 12,181.70, 18,272.55 and 8,048.06

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Solution

The fourth proportional to 12,181.70, 18,272.55 and 8,048.06 is: 12,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.70 : 18,272.55 = 8,048.06 : x
  2. Step 2: Convert to fraction form
    12,181.70/18,272.55 = 8,048.06/x
  3. Step 3: Cross multiply
    12,181.70x = 18,272.55 × 8,048.06
  4. Step 4: Simplify right side
    12,181.70x = 147,058,578.75
  5. Step 5: Solve for x
    x = 147,058,578.75/12,181.70
  6. Step 6: Final answer
    x = 12,072.09

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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.