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Finding the Fourth Proportional to 12,415.68, 18,625.56 and 4,096.19

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Solution

The fourth proportional to 12,415.68, 18,625.56 and 4,096.19 is: 6,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.68 : 18,625.56 = 4,096.19 : x
  2. Step 2: Convert to fraction form
    12,415.68/18,625.56 = 4,096.19/x
  3. Step 3: Cross multiply
    12,415.68x = 18,625.56 × 4,096.19
  4. Step 4: Simplify right side
    12,415.68x = 76,293,739.49
  5. Step 5: Solve for x
    x = 76,293,739.49/12,415.68
  6. Step 6: Final answer
    x = 6,144.95

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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.