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Finding the Fourth Proportional to 27,765.62, 38,276.70 and 19,794

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Solution

The fourth proportional to 27,765.62, 38,276.70 and 19,794 is: 27,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.62 : 38,276.70 = 19,794 : x
  2. Step 2: Convert to fraction form
    27,765.62/38,276.70 = 19,794/x
  3. Step 3: Cross multiply
    27,765.62x = 38,276.70 × 19,794
  4. Step 4: Simplify right side
    27,765.62x = 757,648,999.80
  5. Step 5: Solve for x
    x = 757,648,999.80/27,765.62
  6. Step 6: Final answer
    x = 27,287.31

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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.