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Finding the Fourth Proportional to 19,852.09, 27,396.22 and 10,899.97

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Solution

The fourth proportional to 19,852.09, 27,396.22 and 10,899.97 is: 15,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.09 : 27,396.22 = 10,899.97 : x
  2. Step 2: Convert to fraction form
    19,852.09/27,396.22 = 10,899.97/x
  3. Step 3: Cross multiply
    19,852.09x = 27,396.22 × 10,899.97
  4. Step 4: Simplify right side
    19,852.09x = 298,617,976.11
  5. Step 5: Solve for x
    x = 298,617,976.11/19,852.09
  6. Step 6: Final answer
    x = 15,042.14

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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.