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Finding the Fourth Proportional to 12,128.82, 18,164.06 and 8,221.38

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Solution

The fourth proportional to 12,128.82, 18,164.06 and 8,221.38 is: 12,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.82 : 18,164.06 = 8,221.38 : x
  2. Step 2: Convert to fraction form
    12,128.82/18,164.06 = 8,221.38/x
  3. Step 3: Cross multiply
    12,128.82x = 18,164.06 × 8,221.38
  4. Step 4: Simplify right side
    12,128.82x = 149,333,639.60
  5. Step 5: Solve for x
    x = 149,333,639.60/12,128.82
  6. Step 6: Final answer
    x = 12,312.30

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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.