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Finding the Fourth Proportional to 11,921.24, 17,881.97 and 8,222.51

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Solution

The fourth proportional to 11,921.24, 17,881.97 and 8,222.51 is: 12,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.24 : 17,881.97 = 8,222.51 : x
  2. Step 2: Convert to fraction form
    11,921.24/17,881.97 = 8,222.51/x
  3. Step 3: Cross multiply
    11,921.24x = 17,881.97 × 8,222.51
  4. Step 4: Simplify right side
    11,921.24x = 147,034,680.74
  5. Step 5: Solve for x
    x = 147,034,680.74/11,921.24
  6. Step 6: Final answer
    x = 12,333.84

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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.