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Finding the Fourth Proportional to 12,017.78, 18,016.22 and 5,774.66

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Solution

The fourth proportional to 12,017.78, 18,016.22 and 5,774.66 is: 8,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.78 : 18,016.22 = 5,774.66 : x
  2. Step 2: Convert to fraction form
    12,017.78/18,016.22 = 5,774.66/x
  3. Step 3: Cross multiply
    12,017.78x = 18,016.22 × 5,774.66
  4. Step 4: Simplify right side
    12,017.78x = 104,037,469.34
  5. Step 5: Solve for x
    x = 104,037,469.34/12,017.78
  6. Step 6: Final answer
    x = 8,656.97

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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.