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Finding the Fourth Proportional to 18,206.44, 27,313.82 and 7,821.16

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Solution

The fourth proportional to 18,206.44, 27,313.82 and 7,821.16 is: 11,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.44 : 27,313.82 = 7,821.16 : x
  2. Step 2: Convert to fraction form
    18,206.44/27,313.82 = 7,821.16/x
  3. Step 3: Cross multiply
    18,206.44x = 27,313.82 × 7,821.16
  4. Step 4: Simplify right side
    18,206.44x = 213,625,756.43
  5. Step 5: Solve for x
    x = 213,625,756.43/18,206.44
  6. Step 6: Final answer
    x = 11,733.53

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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.