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Finding the Fourth Proportional to 16,804.40, 25,198.38 and 9,786.86

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Solution

The fourth proportional to 16,804.40, 25,198.38 and 9,786.86 is: 14,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804.40 : 25,198.38 = 9,786.86 : x
  2. Step 2: Convert to fraction form
    16,804.40/25,198.38 = 9,786.86/x
  3. Step 3: Cross multiply
    16,804.40x = 25,198.38 × 9,786.86
  4. Step 4: Simplify right side
    16,804.40x = 246,613,078.33
  5. Step 5: Solve for x
    x = 246,613,078.33/16,804.40
  6. Step 6: Final answer
    x = 14,675.51

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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.