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Finding the Fourth Proportional to 12,024.80, 17,998.80 and 11,640.80

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Solution

The fourth proportional to 12,024.80, 17,998.80 and 11,640.80 is: 17,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.80 : 17,998.80 = 11,640.80 : x
  2. Step 2: Convert to fraction form
    12,024.80/17,998.80 = 11,640.80/x
  3. Step 3: Cross multiply
    12,024.80x = 17,998.80 × 11,640.80
  4. Step 4: Simplify right side
    12,024.80x = 209,520,431.04
  5. Step 5: Solve for x
    x = 209,520,431.04/12,024.80
  6. Step 6: Final answer
    x = 17,424.03

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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.