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Finding the Fourth Proportional to 27,794.07, 38,346.62 and 15,849

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Solution

The fourth proportional to 27,794.07, 38,346.62 and 15,849 is: 21,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.07 : 38,346.62 = 15,849 : x
  2. Step 2: Convert to fraction form
    27,794.07/38,346.62 = 15,849/x
  3. Step 3: Cross multiply
    27,794.07x = 38,346.62 × 15,849
  4. Step 4: Simplify right side
    27,794.07x = 607,755,501.14
  5. Step 5: Solve for x
    x = 607,755,501.14/27,794.07
  6. Step 6: Final answer
    x = 21,866.37

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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.