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Finding the Fourth Proportional to 27,893.80, 41,842.04 and 9,173.42

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Solution

The fourth proportional to 27,893.80, 41,842.04 and 9,173.42 is: 13,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,893.80 : 41,842.04 = 9,173.42 : x
  2. Step 2: Convert to fraction form
    27,893.80/41,842.04 = 9,173.42/x
  3. Step 3: Cross multiply
    27,893.80x = 41,842.04 × 9,173.42
  4. Step 4: Simplify right side
    27,893.80x = 383,834,606.58
  5. Step 5: Solve for x
    x = 383,834,606.58/27,893.80
  6. Step 6: Final answer
    x = 13,760.57

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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.