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Finding the Fourth Proportional to 13,842.14, 20,762.05 and 4,481.96

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Solution

The fourth proportional to 13,842.14, 20,762.05 and 4,481.96 is: 6,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.14 : 20,762.05 = 4,481.96 : x
  2. Step 2: Convert to fraction form
    13,842.14/20,762.05 = 4,481.96/x
  3. Step 3: Cross multiply
    13,842.14x = 20,762.05 × 4,481.96
  4. Step 4: Simplify right side
    13,842.14x = 93,054,616.79
  5. Step 5: Solve for x
    x = 93,054,616.79/13,842.14
  6. Step 6: Final answer
    x = 6,722.56

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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.