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Finding the Fourth Proportional to 27,723, 41,584.50 and 6,946.52

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Solution

The fourth proportional to 27,723, 41,584.50 and 6,946.52 is: 10,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723 : 41,584.50 = 6,946.52 : x
  2. Step 2: Convert to fraction form
    27,723/41,584.50 = 6,946.52/x
  3. Step 3: Cross multiply
    27,723x = 41,584.50 × 6,946.52
  4. Step 4: Simplify right side
    27,723x = 288,867,560.94
  5. Step 5: Solve for x
    x = 288,867,560.94/27,723
  6. Step 6: Final answer
    x = 10,419.78

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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.