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Finding the Fourth Proportional to 16,804.09, 25,221.71 and 8,489.96

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Solution

The fourth proportional to 16,804.09, 25,221.71 and 8,489.96 is: 12,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804.09 : 25,221.71 = 8,489.96 : x
  2. Step 2: Convert to fraction form
    16,804.09/25,221.71 = 8,489.96/x
  3. Step 3: Cross multiply
    16,804.09x = 25,221.71 × 8,489.96
  4. Step 4: Simplify right side
    16,804.09x = 214,131,309.03
  5. Step 5: Solve for x
    x = 214,131,309.03/16,804.09
  6. Step 6: Final answer
    x = 12,742.81

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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.