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Finding the Fourth Proportional to 12,195.69, 16,829.67 and 6,890.19

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Solution

The fourth proportional to 12,195.69, 16,829.67 and 6,890.19 is: 9,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.69 : 16,829.67 = 6,890.19 : x
  2. Step 2: Convert to fraction form
    12,195.69/16,829.67 = 6,890.19/x
  3. Step 3: Cross multiply
    12,195.69x = 16,829.67 × 6,890.19
  4. Step 4: Simplify right side
    12,195.69x = 115,959,623.94
  5. Step 5: Solve for x
    x = 115,959,623.94/12,195.69
  6. Step 6: Final answer
    x = 9,508.25

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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.