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Finding the Fourth Proportional to 27,400.52, 41,076.09 and 9,858

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Solution

The fourth proportional to 27,400.52, 41,076.09 and 9,858 is: 14,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400.52 : 41,076.09 = 9,858 : x
  2. Step 2: Convert to fraction form
    27,400.52/41,076.09 = 9,858/x
  3. Step 3: Cross multiply
    27,400.52x = 41,076.09 × 9,858
  4. Step 4: Simplify right side
    27,400.52x = 404,928,095.22
  5. Step 5: Solve for x
    x = 404,928,095.22/27,400.52
  6. Step 6: Final answer
    x = 14,778.12

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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.