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Finding the Fourth Proportional to 12,668.83, 17,478.72 and 8,198.24

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Solution

The fourth proportional to 12,668.83, 17,478.72 and 8,198.24 is: 11,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,668.83 : 17,478.72 = 8,198.24 : x
  2. Step 2: Convert to fraction form
    12,668.83/17,478.72 = 8,198.24/x
  3. Step 3: Cross multiply
    12,668.83x = 17,478.72 × 8,198.24
  4. Step 4: Simplify right side
    12,668.83x = 143,294,741.45
  5. Step 5: Solve for x
    x = 143,294,741.45/12,668.83
  6. Step 6: Final answer
    x = 11,310.81

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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.