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Finding the Fourth Proportional to 11,814.30, 17,723.24 and 4,021.29

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Solution

The fourth proportional to 11,814.30, 17,723.24 and 4,021.29 is: 6,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.30 : 17,723.24 = 4,021.29 : x
  2. Step 2: Convert to fraction form
    11,814.30/17,723.24 = 4,021.29/x
  3. Step 3: Cross multiply
    11,814.30x = 17,723.24 × 4,021.29
  4. Step 4: Simplify right side
    11,814.30x = 71,270,179.06
  5. Step 5: Solve for x
    x = 71,270,179.06/11,814.30
  6. Step 6: Final answer
    x = 6,032.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.