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Finding the Fourth Proportional to 19,983.70, 27,581.34 and 11,919.34

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Solution

The fourth proportional to 19,983.70, 27,581.34 and 11,919.34 is: 16,450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.70 : 27,581.34 = 11,919.34 : x
  2. Step 2: Convert to fraction form
    19,983.70/27,581.34 = 11,919.34/x
  3. Step 3: Cross multiply
    19,983.70x = 27,581.34 × 11,919.34
  4. Step 4: Simplify right side
    19,983.70x = 328,751,369.12
  5. Step 5: Solve for x
    x = 328,751,369.12/19,983.70
  6. Step 6: Final answer
    x = 16,450.98

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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.