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Finding the Fourth Proportional to 27,653.69, 41,480.50 and 6,877.19

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Solution

The fourth proportional to 27,653.69, 41,480.50 and 6,877.19 is: 10,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,653.69 : 41,480.50 = 6,877.19 : x
  2. Step 2: Convert to fraction form
    27,653.69/41,480.50 = 6,877.19/x
  3. Step 3: Cross multiply
    27,653.69x = 41,480.50 × 6,877.19
  4. Step 4: Simplify right side
    27,653.69x = 285,269,279.80
  5. Step 5: Solve for x
    x = 285,269,279.80/27,653.69
  6. Step 6: Final answer
    x = 10,315.78

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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.