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Finding the Fourth Proportional to 27,563.49, 41,339.77 and 7,842.22

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Solution

The fourth proportional to 27,563.49, 41,339.77 and 7,842.22 is: 11,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,563.49 : 41,339.77 = 7,842.22 : x
  2. Step 2: Convert to fraction form
    27,563.49/41,339.77 = 7,842.22/x
  3. Step 3: Cross multiply
    27,563.49x = 41,339.77 × 7,842.22
  4. Step 4: Simplify right side
    27,563.49x = 324,195,448.13
  5. Step 5: Solve for x
    x = 324,195,448.13/27,563.49
  6. Step 6: Final answer
    x = 11,761.77

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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.