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Finding the Fourth Proportional to 29,694.80, 40,982.28 and 17,120

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Solution

The fourth proportional to 29,694.80, 40,982.28 and 17,120 is: 23,627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694.80 : 40,982.28 = 17,120 : x
  2. Step 2: Convert to fraction form
    29,694.80/40,982.28 = 17,120/x
  3. Step 3: Cross multiply
    29,694.80x = 40,982.28 × 17,120
  4. Step 4: Simplify right side
    29,694.80x = 701,616,633.60
  5. Step 5: Solve for x
    x = 701,616,633.60/29,694.80
  6. Step 6: Final answer
    x = 23,627.59

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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.