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Finding the Fourth Proportional to 20,046.98, 27,651.92 and 13,762.82

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Solution

The fourth proportional to 20,046.98, 27,651.92 and 13,762.82 is: 18,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.98 : 27,651.92 = 13,762.82 : x
  2. Step 2: Convert to fraction form
    20,046.98/27,651.92 = 13,762.82/x
  3. Step 3: Cross multiply
    20,046.98x = 27,651.92 × 13,762.82
  4. Step 4: Simplify right side
    20,046.98x = 380,568,397.61
  5. Step 5: Solve for x
    x = 380,568,397.61/20,046.98
  6. Step 6: Final answer
    x = 18,983.83

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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.