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Finding the Fourth Proportional to 13,776.96, 20,665.12 and 3,388.80

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Solution

The fourth proportional to 13,776.96, 20,665.12 and 3,388.80 is: 5,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.96 : 20,665.12 = 3,388.80 : x
  2. Step 2: Convert to fraction form
    13,776.96/20,665.12 = 3,388.80/x
  3. Step 3: Cross multiply
    13,776.96x = 20,665.12 × 3,388.80
  4. Step 4: Simplify right side
    13,776.96x = 70,029,958.66
  5. Step 5: Solve for x
    x = 70,029,958.66/13,776.96
  6. Step 6: Final answer
    x = 5,083.12

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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.