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Finding the Fourth Proportional to 12,577.56, 18,858.84 and 4,255.20

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Solution

The fourth proportional to 12,577.56, 18,858.84 and 4,255.20 is: 6,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.56 : 18,858.84 = 4,255.20 : x
  2. Step 2: Convert to fraction form
    12,577.56/18,858.84 = 4,255.20/x
  3. Step 3: Cross multiply
    12,577.56x = 18,858.84 × 4,255.20
  4. Step 4: Simplify right side
    12,577.56x = 80,248,135.97
  5. Step 5: Solve for x
    x = 80,248,135.97/12,577.56
  6. Step 6: Final answer
    x = 6,380.26

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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.