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Finding the Fourth Proportional to 14,651.36, 20,218.97 and 8,191

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Solution

The fourth proportional to 14,651.36, 20,218.97 and 8,191 is: 11,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.36 : 20,218.97 = 8,191 : x
  2. Step 2: Convert to fraction form
    14,651.36/20,218.97 = 8,191/x
  3. Step 3: Cross multiply
    14,651.36x = 20,218.97 × 8,191
  4. Step 4: Simplify right side
    14,651.36x = 165,613,583.27
  5. Step 5: Solve for x
    x = 165,613,583.27/14,651.36
  6. Step 6: Final answer
    x = 11,303.63

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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.