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Finding the Fourth Proportional to 27,404.34, 41,103.29 and 7,684.49

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Solution

The fourth proportional to 27,404.34, 41,103.29 and 7,684.49 is: 11,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,404.34 : 41,103.29 = 7,684.49 : x
  2. Step 2: Convert to fraction form
    27,404.34/41,103.29 = 7,684.49/x
  3. Step 3: Cross multiply
    27,404.34x = 41,103.29 × 7,684.49
  4. Step 4: Simplify right side
    27,404.34x = 315,857,634.67
  5. Step 5: Solve for x
    x = 315,857,634.67/27,404.34
  6. Step 6: Final answer
    x = 11,525.83

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