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Finding the Fourth Proportional to 19,705.43, 27,192.42 and 11,206.41

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Solution

The fourth proportional to 19,705.43, 27,192.42 and 11,206.41 is: 15,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.43 : 27,192.42 = 11,206.41 : x
  2. Step 2: Convert to fraction form
    19,705.43/27,192.42 = 11,206.41/x
  3. Step 3: Cross multiply
    19,705.43x = 27,192.42 × 11,206.41
  4. Step 4: Simplify right side
    19,705.43x = 304,729,407.41
  5. Step 5: Solve for x
    x = 304,729,407.41/19,705.43
  6. Step 6: Final answer
    x = 15,464.24

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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.