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Finding the Fourth Proportional to 27,716.69, 41,556.06 and 9,946.95

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Solution

The fourth proportional to 27,716.69, 41,556.06 and 9,946.95 is: 14,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,716.69 : 41,556.06 = 9,946.95 : x
  2. Step 2: Convert to fraction form
    27,716.69/41,556.06 = 9,946.95/x
  3. Step 3: Cross multiply
    27,716.69x = 41,556.06 × 9,946.95
  4. Step 4: Simplify right side
    27,716.69x = 413,355,793.50
  5. Step 5: Solve for x
    x = 413,355,793.50/27,716.69
  6. Step 6: Final answer
    x = 14,913.61

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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.