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Finding the Fourth Proportional to 12,268, 18,401.59 and 3,948.49

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Solution

The fourth proportional to 12,268, 18,401.59 and 3,948.49 is: 5,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268 : 18,401.59 = 3,948.49 : x
  2. Step 2: Convert to fraction form
    12,268/18,401.59 = 3,948.49/x
  3. Step 3: Cross multiply
    12,268x = 18,401.59 × 3,948.49
  4. Step 4: Simplify right side
    12,268x = 72,658,494.10
  5. Step 5: Solve for x
    x = 72,658,494.10/12,268
  6. Step 6: Final answer
    x = 5,922.60

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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.