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Finding the Fourth Proportional to 19,580.50, 27,021.09 and 11,197

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Solution

The fourth proportional to 19,580.50, 27,021.09 and 11,197 is: 15,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580.50 : 27,021.09 = 11,197 : x
  2. Step 2: Convert to fraction form
    19,580.50/27,021.09 = 11,197/x
  3. Step 3: Cross multiply
    19,580.50x = 27,021.09 × 11,197
  4. Step 4: Simplify right side
    19,580.50x = 302,555,144.73
  5. Step 5: Solve for x
    x = 302,555,144.73/19,580.50
  6. Step 6: Final answer
    x = 15,451.86

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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.