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Finding the Fourth Proportional to 19,842.39, 27,388.33 and 11,349.34

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Solution

The fourth proportional to 19,842.39, 27,388.33 and 11,349.34 is: 15,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.39 : 27,388.33 = 11,349.34 : x
  2. Step 2: Convert to fraction form
    19,842.39/27,388.33 = 11,349.34/x
  3. Step 3: Cross multiply
    19,842.39x = 27,388.33 × 11,349.34
  4. Step 4: Simplify right side
    19,842.39x = 310,839,372.36
  5. Step 5: Solve for x
    x = 310,839,372.36/19,842.39
  6. Step 6: Final answer
    x = 15,665.42

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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.