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Finding the Fourth Proportional to 27,628.00, 41,407.29 and 11,814.44

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Solution

The fourth proportional to 27,628.00, 41,407.29 and 11,814.44 is: 17,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,628.00 : 41,407.29 = 11,814.44 : x
  2. Step 2: Convert to fraction form
    27,628.00/41,407.29 = 11,814.44/x
  3. Step 3: Cross multiply
    27,628.00x = 41,407.29 × 11,814.44
  4. Step 4: Simplify right side
    27,628.00x = 489,203,736.23
  5. Step 5: Solve for x
    x = 489,203,736.23/27,628.00
  6. Step 6: Final answer
    x = 17,706.81

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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.