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Finding the Fourth Proportional to 12,238.80, 18,424.80 and 11,150.16

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Solution

The fourth proportional to 12,238.80, 18,424.80 and 11,150.16 is: 16,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.80 : 18,424.80 = 11,150.16 : x
  2. Step 2: Convert to fraction form
    12,238.80/18,424.80 = 11,150.16/x
  3. Step 3: Cross multiply
    12,238.80x = 18,424.80 × 11,150.16
  4. Step 4: Simplify right side
    12,238.80x = 205,439,467.97
  5. Step 5: Solve for x
    x = 205,439,467.97/12,238.80
  6. Step 6: Final answer
    x = 16,785.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.