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Finding the Fourth Proportional to 12,194.28, 16,828.02 and 6,890.13

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Solution

The fourth proportional to 12,194.28, 16,828.02 and 6,890.13 is: 9,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.28 : 16,828.02 = 6,890.13 : x
  2. Step 2: Convert to fraction form
    12,194.28/16,828.02 = 6,890.13/x
  3. Step 3: Cross multiply
    12,194.28x = 16,828.02 × 6,890.13
  4. Step 4: Simplify right side
    12,194.28x = 115,947,245.44
  5. Step 5: Solve for x
    x = 115,947,245.44/12,194.28
  6. Step 6: Final answer
    x = 9,508.33

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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.