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Finding the Fourth Proportional to 29,912.26, 41,277.26 and 16,480.84

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Solution

The fourth proportional to 29,912.26, 41,277.26 and 16,480.84 is: 22,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,912.26 : 41,277.26 = 16,480.84 : x
  2. Step 2: Convert to fraction form
    29,912.26/41,277.26 = 16,480.84/x
  3. Step 3: Cross multiply
    29,912.26x = 41,277.26 × 16,480.84
  4. Step 4: Simplify right side
    29,912.26x = 680,283,917.70
  5. Step 5: Solve for x
    x = 680,283,917.70/29,912.26
  6. Step 6: Final answer
    x = 22,742.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.