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Finding the Fourth Proportional to 14,057.31, 21,067.77 and 5,727.63

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Solution

The fourth proportional to 14,057.31, 21,067.77 and 5,727.63 is: 8,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.31 : 21,067.77 = 5,727.63 : x
  2. Step 2: Convert to fraction form
    14,057.31/21,067.77 = 5,727.63/x
  3. Step 3: Cross multiply
    14,057.31x = 21,067.77 × 5,727.63
  4. Step 4: Simplify right side
    14,057.31x = 120,668,391.49
  5. Step 5: Solve for x
    x = 120,668,391.49/14,057.31
  6. Step 6: Final answer
    x = 8,584.03

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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.