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Finding the Fourth Proportional to 27,893.41, 41,838 and 9,174.07

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Solution

The fourth proportional to 27,893.41, 41,838 and 9,174.07 is: 13,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893.41 : 41,838 = 9,174.07 : x
  2. Step 2: Convert to fraction form
    27,893.41/41,838 = 9,174.07/x
  3. Step 3: Cross multiply
    27,893.41x = 41,838 × 9,174.07
  4. Step 4: Simplify right side
    27,893.41x = 383,824,740.66
  5. Step 5: Solve for x
    x = 383,824,740.66/27,893.41
  6. Step 6: Final answer
    x = 13,760.41

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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.