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Finding the Fourth Proportional to 12,199.51, 16,833.37 and 6,893.61

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Solution

The fourth proportional to 12,199.51, 16,833.37 and 6,893.61 is: 9,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.51 : 16,833.37 = 6,893.61 : x
  2. Step 2: Convert to fraction form
    12,199.51/16,833.37 = 6,893.61/x
  3. Step 3: Cross multiply
    12,199.51x = 16,833.37 × 6,893.61
  4. Step 4: Simplify right side
    12,199.51x = 116,042,620.33
  5. Step 5: Solve for x
    x = 116,042,620.33/12,199.51
  6. Step 6: Final answer
    x = 9,512.07

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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.