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Finding the Fourth Proportional to 12,013.78, 18,020.67 and 4,220.80

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Solution

The fourth proportional to 12,013.78, 18,020.67 and 4,220.80 is: 6,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.78 : 18,020.67 = 4,220.80 : x
  2. Step 2: Convert to fraction form
    12,013.78/18,020.67 = 4,220.80/x
  3. Step 3: Cross multiply
    12,013.78x = 18,020.67 × 4,220.80
  4. Step 4: Simplify right side
    12,013.78x = 76,061,643.94
  5. Step 5: Solve for x
    x = 76,061,643.94/12,013.78
  6. Step 6: Final answer
    x = 6,331.20

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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.