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Finding the Fourth Proportional to 12,150.57, 18,220.73 and 3,828.36

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Solution

The fourth proportional to 12,150.57, 18,220.73 and 3,828.36 is: 5,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.57 : 18,220.73 = 3,828.36 : x
  2. Step 2: Convert to fraction form
    12,150.57/18,220.73 = 3,828.36/x
  3. Step 3: Cross multiply
    12,150.57x = 18,220.73 × 3,828.36
  4. Step 4: Simplify right side
    12,150.57x = 69,755,494.76
  5. Step 5: Solve for x
    x = 69,755,494.76/12,150.57
  6. Step 6: Final answer
    x = 5,740.92

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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.