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Finding the Fourth Proportional to 12,418, 18,629.44 and 5,492.52

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Solution

The fourth proportional to 12,418, 18,629.44 and 5,492.52 is: 8,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418 : 18,629.44 = 5,492.52 : x
  2. Step 2: Convert to fraction form
    12,418/18,629.44 = 5,492.52/x
  3. Step 3: Cross multiply
    12,418x = 18,629.44 × 5,492.52
  4. Step 4: Simplify right side
    12,418x = 102,322,571.79
  5. Step 5: Solve for x
    x = 102,322,571.79/12,418
  6. Step 6: Final answer
    x = 8,239.86

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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.