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Finding the Fourth Proportional to 12,149.80, 18,200.40 and 8,213.20

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Solution

The fourth proportional to 12,149.80, 18,200.40 and 8,213.20 is: 12,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.80 : 18,200.40 = 8,213.20 : x
  2. Step 2: Convert to fraction form
    12,149.80/18,200.40 = 8,213.20/x
  3. Step 3: Cross multiply
    12,149.80x = 18,200.40 × 8,213.20
  4. Step 4: Simplify right side
    12,149.80x = 149,483,525.28
  5. Step 5: Solve for x
    x = 149,483,525.28/12,149.80
  6. Step 6: Final answer
    x = 12,303.37

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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.