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Finding the Fourth Proportional to 19,924.31, 27,494.66 and 11,420.34

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Solution

The fourth proportional to 19,924.31, 27,494.66 and 11,420.34 is: 15,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924.31 : 27,494.66 = 11,420.34 : x
  2. Step 2: Convert to fraction form
    19,924.31/27,494.66 = 11,420.34/x
  3. Step 3: Cross multiply
    19,924.31x = 27,494.66 × 11,420.34
  4. Step 4: Simplify right side
    19,924.31x = 313,998,365.38
  5. Step 5: Solve for x
    x = 313,998,365.38/19,924.31
  6. Step 6: Final answer
    x = 15,759.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.