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Finding the Fourth Proportional to 12,012.54, 18,014.22 and 5,768.64

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Solution

The fourth proportional to 12,012.54, 18,014.22 and 5,768.64 is: 8,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.54 : 18,014.22 = 5,768.64 : x
  2. Step 2: Convert to fraction form
    12,012.54/18,014.22 = 5,768.64/x
  3. Step 3: Cross multiply
    12,012.54x = 18,014.22 × 5,768.64
  4. Step 4: Simplify right side
    12,012.54x = 103,917,550.06
  5. Step 5: Solve for x
    x = 103,917,550.06/12,012.54
  6. Step 6: Final answer
    x = 8,650.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.