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Finding the Fourth Proportional to 18,036, 27,065.07 and 7,647.75

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Solution

The fourth proportional to 18,036, 27,065.07 and 7,647.75 is: 11,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,036 : 27,065.07 = 7,647.75 : x
  2. Step 2: Convert to fraction form
    18,036/27,065.07 = 7,647.75/x
  3. Step 3: Cross multiply
    18,036x = 27,065.07 × 7,647.75
  4. Step 4: Simplify right side
    18,036x = 206,986,889.09
  5. Step 5: Solve for x
    x = 206,986,889.09/18,036
  6. Step 6: Final answer
    x = 11,476.32

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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.