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Finding the Fourth Proportional to 12,208.20, 18,309.90 and 4,000.20

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Solution

The fourth proportional to 12,208.20, 18,309.90 and 4,000.20 is: 5,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.20 : 18,309.90 = 4,000.20 : x
  2. Step 2: Convert to fraction form
    12,208.20/18,309.90 = 4,000.20/x
  3. Step 3: Cross multiply
    12,208.20x = 18,309.90 × 4,000.20
  4. Step 4: Simplify right side
    12,208.20x = 73,243,261.98
  5. Step 5: Solve for x
    x = 73,243,261.98/12,208.20
  6. Step 6: Final answer
    x = 5,999.51

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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.