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Finding the Fourth Proportional to 12,416.68, 18,623.02 and 3,408.69

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Solution

The fourth proportional to 12,416.68, 18,623.02 and 3,408.69 is: 5,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.68 : 18,623.02 = 3,408.69 : x
  2. Step 2: Convert to fraction form
    12,416.68/18,623.02 = 3,408.69/x
  3. Step 3: Cross multiply
    12,416.68x = 18,623.02 × 3,408.69
  4. Step 4: Simplify right side
    12,416.68x = 63,480,069.70
  5. Step 5: Solve for x
    x = 63,480,069.70/12,416.68
  6. Step 6: Final answer
    x = 5,112.48

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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.