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Finding the Fourth Proportional to 12,616.48, 18,924 and 3,850.70

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Solution

The fourth proportional to 12,616.48, 18,924 and 3,850.70 is: 5,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.48 : 18,924 = 3,850.70 : x
  2. Step 2: Convert to fraction form
    12,616.48/18,924 = 3,850.70/x
  3. Step 3: Cross multiply
    12,616.48x = 18,924 × 3,850.70
  4. Step 4: Simplify right side
    12,616.48x = 72,870,646.80
  5. Step 5: Solve for x
    x = 72,870,646.80/12,616.48
  6. Step 6: Final answer
    x = 5,775.83

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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.