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Finding the Fourth Proportional to 12,161.49, 18,247.90 and 11,964.93

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Solution

The fourth proportional to 12,161.49, 18,247.90 and 11,964.93 is: 17,952.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.49 : 18,247.90 = 11,964.93 : x
  2. Step 2: Convert to fraction form
    12,161.49/18,247.90 = 11,964.93/x
  3. Step 3: Cross multiply
    12,161.49x = 18,247.90 × 11,964.93
  4. Step 4: Simplify right side
    12,161.49x = 218,334,846.15
  5. Step 5: Solve for x
    x = 218,334,846.15/12,161.49
  6. Step 6: Final answer
    x = 17,952.97

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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.