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Finding the Fourth Proportional to 12,203.78, 18,308.33 and 5,189.78

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Solution

The fourth proportional to 12,203.78, 18,308.33 and 5,189.78 is: 7,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.78 : 18,308.33 = 5,189.78 : x
  2. Step 2: Convert to fraction form
    12,203.78/18,308.33 = 5,189.78/x
  3. Step 3: Cross multiply
    12,203.78x = 18,308.33 × 5,189.78
  4. Step 4: Simplify right side
    12,203.78x = 95,016,087.38
  5. Step 5: Solve for x
    x = 95,016,087.38/12,203.78
  6. Step 6: Final answer
    x = 7,785.79

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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.