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Finding the Fourth Proportional to 20,388.96, 30,577.80 and 13,855.20

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Solution

The fourth proportional to 20,388.96, 30,577.80 and 13,855.20 is: 20,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,388.96 : 30,577.80 = 13,855.20 : x
  2. Step 2: Convert to fraction form
    20,388.96/30,577.80 = 13,855.20/x
  3. Step 3: Cross multiply
    20,388.96x = 30,577.80 × 13,855.20
  4. Step 4: Simplify right side
    20,388.96x = 423,661,534.56
  5. Step 5: Solve for x
    x = 423,661,534.56/20,388.96
  6. Step 6: Final answer
    x = 20,778.97

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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.