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Finding the Fourth Proportional to 27,907.60, 41,866.80 and 8,186.80

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Solution

The fourth proportional to 27,907.60, 41,866.80 and 8,186.80 is: 12,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.60 : 41,866.80 = 8,186.80 : x
  2. Step 2: Convert to fraction form
    27,907.60/41,866.80 = 8,186.80/x
  3. Step 3: Cross multiply
    27,907.60x = 41,866.80 × 8,186.80
  4. Step 4: Simplify right side
    27,907.60x = 342,755,118.24
  5. Step 5: Solve for x
    x = 342,755,118.24/27,907.60
  6. Step 6: Final answer
    x = 12,281.78

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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.