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Finding the Fourth Proportional to 11,852.42, 17,778.62 and 10,481.90

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Solution

The fourth proportional to 11,852.42, 17,778.62 and 10,481.90 is: 15,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.42 : 17,778.62 = 10,481.90 : x
  2. Step 2: Convert to fraction form
    11,852.42/17,778.62 = 10,481.90/x
  3. Step 3: Cross multiply
    11,852.42x = 17,778.62 × 10,481.90
  4. Step 4: Simplify right side
    11,852.42x = 186,353,716.98
  5. Step 5: Solve for x
    x = 186,353,716.98/11,852.42
  6. Step 6: Final answer
    x = 15,722.84

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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.