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Finding the Fourth Proportional to 14,474.69, 21,673.97 and 11,648.50

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Solution

The fourth proportional to 14,474.69, 21,673.97 and 11,648.50 is: 17,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.69 : 21,673.97 = 11,648.50 : x
  2. Step 2: Convert to fraction form
    14,474.69/21,673.97 = 11,648.50/x
  3. Step 3: Cross multiply
    14,474.69x = 21,673.97 × 11,648.50
  4. Step 4: Simplify right side
    14,474.69x = 252,469,170.80
  5. Step 5: Solve for x
    x = 252,469,170.80/14,474.69
  6. Step 6: Final answer
    x = 17,442.11

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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.