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Finding the Fourth Proportional to 12,174.44, 18,280.86 and 7,577.96

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Solution

The fourth proportional to 12,174.44, 18,280.86 and 7,577.96 is: 11,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.44 : 18,280.86 = 7,577.96 : x
  2. Step 2: Convert to fraction form
    12,174.44/18,280.86 = 7,577.96/x
  3. Step 3: Cross multiply
    12,174.44x = 18,280.86 × 7,577.96
  4. Step 4: Simplify right side
    12,174.44x = 138,531,625.85
  5. Step 5: Solve for x
    x = 138,531,625.85/12,174.44
  6. Step 6: Final answer
    x = 11,378.89

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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.