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Finding the Fourth Proportional to 12,078.56, 18,118.23 and 3,645.44

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Solution

The fourth proportional to 12,078.56, 18,118.23 and 3,645.44 is: 5,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.56 : 18,118.23 = 3,645.44 : x
  2. Step 2: Convert to fraction form
    12,078.56/18,118.23 = 3,645.44/x
  3. Step 3: Cross multiply
    12,078.56x = 18,118.23 × 3,645.44
  4. Step 4: Simplify right side
    12,078.56x = 66,048,829.78
  5. Step 5: Solve for x
    x = 66,048,829.78/12,078.56
  6. Step 6: Final answer
    x = 5,468.27

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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.