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Finding the Fourth Proportional to 13,850.77, 20,775.61 and 4,616.77

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Solution

The fourth proportional to 13,850.77, 20,775.61 and 4,616.77 is: 6,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.77 : 20,775.61 = 4,616.77 : x
  2. Step 2: Convert to fraction form
    13,850.77/20,775.61 = 4,616.77/x
  3. Step 3: Cross multiply
    13,850.77x = 20,775.61 × 4,616.77
  4. Step 4: Simplify right side
    13,850.77x = 95,916,212.98
  5. Step 5: Solve for x
    x = 95,916,212.98/13,850.77
  6. Step 6: Final answer
    x = 6,924.97

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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.