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Finding the Fourth Proportional to 18,228.16, 27,331.44 and 8,228.80

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Solution

The fourth proportional to 18,228.16, 27,331.44 and 8,228.80 is: 12,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,228.16 : 27,331.44 = 8,228.80 : x
  2. Step 2: Convert to fraction form
    18,228.16/27,331.44 = 8,228.80/x
  3. Step 3: Cross multiply
    18,228.16x = 27,331.44 × 8,228.80
  4. Step 4: Simplify right side
    18,228.16x = 224,904,953.47
  5. Step 5: Solve for x
    x = 224,904,953.47/18,228.16
  6. Step 6: Final answer
    x = 12,338.32

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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.