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Finding the Fourth Proportional to 12,442.50, 18,664.11 and 3,208.50

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Solution

The fourth proportional to 12,442.50, 18,664.11 and 3,208.50 is: 4,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.50 : 18,664.11 = 3,208.50 : x
  2. Step 2: Convert to fraction form
    12,442.50/18,664.11 = 3,208.50/x
  3. Step 3: Cross multiply
    12,442.50x = 18,664.11 × 3,208.50
  4. Step 4: Simplify right side
    12,442.50x = 59,883,796.94
  5. Step 5: Solve for x
    x = 59,883,796.94/12,442.50
  6. Step 6: Final answer
    x = 4,812.84

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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.