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Finding the Fourth Proportional to 27,821.77, 41,739.50 and 8,100.51

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Solution

The fourth proportional to 27,821.77, 41,739.50 and 8,100.51 is: 12,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821.77 : 41,739.50 = 8,100.51 : x
  2. Step 2: Convert to fraction form
    27,821.77/41,739.50 = 8,100.51/x
  3. Step 3: Cross multiply
    27,821.77x = 41,739.50 × 8,100.51
  4. Step 4: Simplify right side
    27,821.77x = 338,111,237.15
  5. Step 5: Solve for x
    x = 338,111,237.15/27,821.77
  6. Step 6: Final answer
    x = 12,152.76

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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.