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Finding the Fourth Proportional to 19,707.12, 27,194.73 and 11,208.09

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Solution

The fourth proportional to 19,707.12, 27,194.73 and 11,208.09 is: 15,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.12 : 27,194.73 = 11,208.09 : x
  2. Step 2: Convert to fraction form
    19,707.12/27,194.73 = 11,208.09/x
  3. Step 3: Cross multiply
    19,707.12x = 27,194.73 × 11,208.09
  4. Step 4: Simplify right side
    19,707.12x = 304,800,981.37
  5. Step 5: Solve for x
    x = 304,800,981.37/19,707.12
  6. Step 6: Final answer
    x = 15,466.54

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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.