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Finding the Fourth Proportional to 20,738.36, 31,110.96 and 7,609.16

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Solution

The fourth proportional to 20,738.36, 31,110.96 and 7,609.16 is: 11,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,738.36 : 31,110.96 = 7,609.16 : x
  2. Step 2: Convert to fraction form
    20,738.36/31,110.96 = 7,609.16/x
  3. Step 3: Cross multiply
    20,738.36x = 31,110.96 × 7,609.16
  4. Step 4: Simplify right side
    20,738.36x = 236,728,272.39
  5. Step 5: Solve for x
    x = 236,728,272.39/20,738.36
  6. Step 6: Final answer
    x = 11,414.99

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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.