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Finding the Fourth Proportional to 12,014.20, 17,999.70 and 10,286.20

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Solution

The fourth proportional to 12,014.20, 17,999.70 and 10,286.20 is: 15,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.20 : 17,999.70 = 10,286.20 : x
  2. Step 2: Convert to fraction form
    12,014.20/17,999.70 = 10,286.20/x
  3. Step 3: Cross multiply
    12,014.20x = 17,999.70 × 10,286.20
  4. Step 4: Simplify right side
    12,014.20x = 185,148,514.14
  5. Step 5: Solve for x
    x = 185,148,514.14/12,014.20
  6. Step 6: Final answer
    x = 15,410.81

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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.