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Finding the Fourth Proportional to 16,822.36, 23,215.02 and 9,268.84

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Solution

The fourth proportional to 16,822.36, 23,215.02 and 9,268.84 is: 12,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.36 : 23,215.02 = 9,268.84 : x
  2. Step 2: Convert to fraction form
    16,822.36/23,215.02 = 9,268.84/x
  3. Step 3: Cross multiply
    16,822.36x = 23,215.02 × 9,268.84
  4. Step 4: Simplify right side
    16,822.36x = 215,176,305.98
  5. Step 5: Solve for x
    x = 215,176,305.98/16,822.36
  6. Step 6: Final answer
    x = 12,791.09

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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.