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Finding the Fourth Proportional to 12,414.96, 18,629.88 and 4,629.24

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Solution

The fourth proportional to 12,414.96, 18,629.88 and 4,629.24 is: 6,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.96 : 18,629.88 = 4,629.24 : x
  2. Step 2: Convert to fraction form
    12,414.96/18,629.88 = 4,629.24/x
  3. Step 3: Cross multiply
    12,414.96x = 18,629.88 × 4,629.24
  4. Step 4: Simplify right side
    12,414.96x = 86,242,185.69
  5. Step 5: Solve for x
    x = 86,242,185.69/12,414.96
  6. Step 6: Final answer
    x = 6,946.63

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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.