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Finding the Fourth Proportional to 11,954.70, 17,931.84 and 4,163.31

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Solution

The fourth proportional to 11,954.70, 17,931.84 and 4,163.31 is: 6,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.70 : 17,931.84 = 4,163.31 : x
  2. Step 2: Convert to fraction form
    11,954.70/17,931.84 = 4,163.31/x
  3. Step 3: Cross multiply
    11,954.70x = 17,931.84 × 4,163.31
  4. Step 4: Simplify right side
    11,954.70x = 74,655,719.13
  5. Step 5: Solve for x
    x = 74,655,719.13/11,954.70
  6. Step 6: Final answer
    x = 6,244.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.