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Finding the Fourth Proportional to 12,021.96, 16,589.11 and 6,716.66

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Solution

The fourth proportional to 12,021.96, 16,589.11 and 6,716.66 is: 9,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.96 : 16,589.11 = 6,716.66 : x
  2. Step 2: Convert to fraction form
    12,021.96/16,589.11 = 6,716.66/x
  3. Step 3: Cross multiply
    12,021.96x = 16,589.11 × 6,716.66
  4. Step 4: Simplify right side
    12,021.96x = 111,423,411.57
  5. Step 5: Solve for x
    x = 111,423,411.57/12,021.96
  6. Step 6: Final answer
    x = 9,268.32

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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.