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Finding the Fourth Proportional to 11,220.80, 16,830.84 and 3,429.68

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Solution

The fourth proportional to 11,220.80, 16,830.84 and 3,429.68 is: 5,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.80 : 16,830.84 = 3,429.68 : x
  2. Step 2: Convert to fraction form
    11,220.80/16,830.84 = 3,429.68/x
  3. Step 3: Cross multiply
    11,220.80x = 16,830.84 × 3,429.68
  4. Step 4: Simplify right side
    11,220.80x = 57,724,395.33
  5. Step 5: Solve for x
    x = 57,724,395.33/11,220.80
  6. Step 6: Final answer
    x = 5,144.41

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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.