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Finding the Fourth Proportional to 19,832.36, 27,359.11 and 11,444

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Solution

The fourth proportional to 19,832.36, 27,359.11 and 11,444 is: 15,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.36 : 27,359.11 = 11,444 : x
  2. Step 2: Convert to fraction form
    19,832.36/27,359.11 = 11,444/x
  3. Step 3: Cross multiply
    19,832.36x = 27,359.11 × 11,444
  4. Step 4: Simplify right side
    19,832.36x = 313,097,654.84
  5. Step 5: Solve for x
    x = 313,097,654.84/19,832.36
  6. Step 6: Final answer
    x = 15,787.21

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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.