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Finding the Fourth Proportional to 12,021.69, 16,589.63 and 6,716.54

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Solution

The fourth proportional to 12,021.69, 16,589.63 and 6,716.54 is: 9,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.69 : 16,589.63 = 6,716.54 : x
  2. Step 2: Convert to fraction form
    12,021.69/16,589.63 = 6,716.54/x
  3. Step 3: Cross multiply
    12,021.69x = 16,589.63 × 6,716.54
  4. Step 4: Simplify right side
    12,021.69x = 111,424,879.90
  5. Step 5: Solve for x
    x = 111,424,879.90/12,021.69
  6. Step 6: Final answer
    x = 9,268.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.