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Finding the Fourth Proportional to 13,842.27, 20,763.73 and 4,958.21

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Solution

The fourth proportional to 13,842.27, 20,763.73 and 4,958.21 is: 7,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.27 : 20,763.73 = 4,958.21 : x
  2. Step 2: Convert to fraction form
    13,842.27/20,763.73 = 4,958.21/x
  3. Step 3: Cross multiply
    13,842.27x = 20,763.73 × 4,958.21
  4. Step 4: Simplify right side
    13,842.27x = 102,950,908.93
  5. Step 5: Solve for x
    x = 102,950,908.93/13,842.27
  6. Step 6: Final answer
    x = 7,437.43

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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.