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Finding the Fourth Proportional to 12,442.16, 18,665.94 and 3,677.78

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Solution

The fourth proportional to 12,442.16, 18,665.94 and 3,677.78 is: 5,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.16 : 18,665.94 = 3,677.78 : x
  2. Step 2: Convert to fraction form
    12,442.16/18,665.94 = 3,677.78/x
  3. Step 3: Cross multiply
    12,442.16x = 18,665.94 × 3,677.78
  4. Step 4: Simplify right side
    12,442.16x = 68,649,220.81
  5. Step 5: Solve for x
    x = 68,649,220.81/12,442.16
  6. Step 6: Final answer
    x = 5,517.47

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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.