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Finding the Fourth Proportional to 16,999.36, 23,452.39 and 9,827.96

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Solution

The fourth proportional to 16,999.36, 23,452.39 and 9,827.96 is: 13,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999.36 : 23,452.39 = 9,827.96 : x
  2. Step 2: Convert to fraction form
    16,999.36/23,452.39 = 9,827.96/x
  3. Step 3: Cross multiply
    16,999.36x = 23,452.39 × 9,827.96
  4. Step 4: Simplify right side
    16,999.36x = 230,489,045.85
  5. Step 5: Solve for x
    x = 230,489,045.85/16,999.36
  6. Step 6: Final answer
    x = 13,558.69

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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.