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Finding the Fourth Proportional to 19,705.38, 27,195.72 and 11,208.78

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Solution

The fourth proportional to 19,705.38, 27,195.72 and 11,208.78 is: 15,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.38 : 27,195.72 = 11,208.78 : x
  2. Step 2: Convert to fraction form
    19,705.38/27,195.72 = 11,208.78/x
  3. Step 3: Cross multiply
    19,705.38x = 27,195.72 × 11,208.78
  4. Step 4: Simplify right side
    19,705.38x = 304,830,842.42
  5. Step 5: Solve for x
    x = 304,830,842.42/19,705.38
  6. Step 6: Final answer
    x = 15,469.42

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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.