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Finding the Fourth Proportional to 27,201.54, 40,809.93 and 9,673.14

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Solution

The fourth proportional to 27,201.54, 40,809.93 and 9,673.14 is: 14,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201.54 : 40,809.93 = 9,673.14 : x
  2. Step 2: Convert to fraction form
    27,201.54/40,809.93 = 9,673.14/x
  3. Step 3: Cross multiply
    27,201.54x = 40,809.93 × 9,673.14
  4. Step 4: Simplify right side
    27,201.54x = 394,760,166.28
  5. Step 5: Solve for x
    x = 394,760,166.28/27,201.54
  6. Step 6: Final answer
    x = 14,512.42

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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.