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Finding the Fourth Proportional to 18,546.76, 27,798.21 and 6,846.31

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Solution

The fourth proportional to 18,546.76, 27,798.21 and 6,846.31 is: 10,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.76 : 27,798.21 = 6,846.31 : x
  2. Step 2: Convert to fraction form
    18,546.76/27,798.21 = 6,846.31/x
  3. Step 3: Cross multiply
    18,546.76x = 27,798.21 × 6,846.31
  4. Step 4: Simplify right side
    18,546.76x = 190,315,163.11
  5. Step 5: Solve for x
    x = 190,315,163.11/18,546.76
  6. Step 6: Final answer
    x = 10,261.37

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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.