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Finding the Fourth Proportional to 12,014.10, 18,021.15 and 6,821.46

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Solution

The fourth proportional to 12,014.10, 18,021.15 and 6,821.46 is: 10,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.10 : 18,021.15 = 6,821.46 : x
  2. Step 2: Convert to fraction form
    12,014.10/18,021.15 = 6,821.46/x
  3. Step 3: Cross multiply
    12,014.10x = 18,021.15 × 6,821.46
  4. Step 4: Simplify right side
    12,014.10x = 122,930,553.88
  5. Step 5: Solve for x
    x = 122,930,553.88/12,014.10
  6. Step 6: Final answer
    x = 10,232.19

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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.