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Finding the Fourth Proportional to 12,436.44, 18,650.10 and 4,114.10

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Solution

The fourth proportional to 12,436.44, 18,650.10 and 4,114.10 is: 6,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.44 : 18,650.10 = 4,114.10 : x
  2. Step 2: Convert to fraction form
    12,436.44/18,650.10 = 4,114.10/x
  3. Step 3: Cross multiply
    12,436.44x = 18,650.10 × 4,114.10
  4. Step 4: Simplify right side
    12,436.44x = 76,728,376.41
  5. Step 5: Solve for x
    x = 76,728,376.41/12,436.44
  6. Step 6: Final answer
    x = 6,169.64

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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.