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Finding the Fourth Proportional to 12,135.50, 18,203.34 and 3,927.50

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Solution

The fourth proportional to 12,135.50, 18,203.34 and 3,927.50 is: 5,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.50 : 18,203.34 = 3,927.50 : x
  2. Step 2: Convert to fraction form
    12,135.50/18,203.34 = 3,927.50/x
  3. Step 3: Cross multiply
    12,135.50x = 18,203.34 × 3,927.50
  4. Step 4: Simplify right side
    12,135.50x = 71,493,617.85
  5. Step 5: Solve for x
    x = 71,493,617.85/12,135.50
  6. Step 6: Final answer
    x = 5,891.28

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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.