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Finding the Fourth Proportional to 27,657.45, 41,486.13 and 6,880.95

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Solution

The fourth proportional to 27,657.45, 41,486.13 and 6,880.95 is: 10,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.45 : 41,486.13 = 6,880.95 : x
  2. Step 2: Convert to fraction form
    27,657.45/41,486.13 = 6,880.95/x
  3. Step 3: Cross multiply
    27,657.45x = 41,486.13 × 6,880.95
  4. Step 4: Simplify right side
    27,657.45x = 285,463,986.22
  5. Step 5: Solve for x
    x = 285,463,986.22/27,657.45
  6. Step 6: Final answer
    x = 10,321.41

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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.