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Finding the Fourth Proportional to 12,051.85, 18,078.96 and 3,286.77

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Solution

The fourth proportional to 12,051.85, 18,078.96 and 3,286.77 is: 4,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.85 : 18,078.96 = 3,286.77 : x
  2. Step 2: Convert to fraction form
    12,051.85/18,078.96 = 3,286.77/x
  3. Step 3: Cross multiply
    12,051.85x = 18,078.96 × 3,286.77
  4. Step 4: Simplify right side
    12,051.85x = 59,421,383.36
  5. Step 5: Solve for x
    x = 59,421,383.36/12,051.85
  6. Step 6: Final answer
    x = 4,930.48

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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.