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Finding the Fourth Proportional to 12,151.67, 18,186.35 and 7,474.64

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Solution

The fourth proportional to 12,151.67, 18,186.35 and 7,474.64 is: 11,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.67 : 18,186.35 = 7,474.64 : x
  2. Step 2: Convert to fraction form
    12,151.67/18,186.35 = 7,474.64/x
  3. Step 3: Cross multiply
    12,151.67x = 18,186.35 × 7,474.64
  4. Step 4: Simplify right side
    12,151.67x = 135,936,290.86
  5. Step 5: Solve for x
    x = 135,936,290.86/12,151.67
  6. Step 6: Final answer
    x = 11,186.64

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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.