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Finding the Fourth Proportional to 27,743, 41,619.96 and 9,021.84

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Solution

The fourth proportional to 27,743, 41,619.96 and 9,021.84 is: 13,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,743 : 41,619.96 = 9,021.84 : x
  2. Step 2: Convert to fraction form
    27,743/41,619.96 = 9,021.84/x
  3. Step 3: Cross multiply
    27,743x = 41,619.96 × 9,021.84
  4. Step 4: Simplify right side
    27,743x = 375,488,619.93
  5. Step 5: Solve for x
    x = 375,488,619.93/27,743
  6. Step 6: Final answer
    x = 13,534.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.