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Finding the Fourth Proportional to 27,578.80, 41,367.32 and 8,858.76

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Solution

The fourth proportional to 27,578.80, 41,367.32 and 8,858.76 is: 13,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.80 : 41,367.32 = 8,858.76 : x
  2. Step 2: Convert to fraction form
    27,578.80/41,367.32 = 8,858.76/x
  3. Step 3: Cross multiply
    27,578.80x = 41,367.32 × 8,858.76
  4. Step 4: Simplify right side
    27,578.80x = 366,463,159.72
  5. Step 5: Solve for x
    x = 366,463,159.72/27,578.80
  6. Step 6: Final answer
    x = 13,287.86

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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.