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Finding the Fourth Proportional to 12,012.56, 18,014.20 and 5,768.60

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Solution

The fourth proportional to 12,012.56, 18,014.20 and 5,768.60 is: 8,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.56 : 18,014.20 = 5,768.60 : x
  2. Step 2: Convert to fraction form
    12,012.56/18,014.20 = 5,768.60/x
  3. Step 3: Cross multiply
    12,012.56x = 18,014.20 × 5,768.60
  4. Step 4: Simplify right side
    12,012.56x = 103,916,714.12
  5. Step 5: Solve for x
    x = 103,916,714.12/12,012.56
  6. Step 6: Final answer
    x = 8,650.67

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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.