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Finding the Fourth Proportional to 17,098.80, 25,650.60 and 5,410.80

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Solution

The fourth proportional to 17,098.80, 25,650.60 and 5,410.80 is: 8,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.80 : 25,650.60 = 5,410.80 : x
  2. Step 2: Convert to fraction form
    17,098.80/25,650.60 = 5,410.80/x
  3. Step 3: Cross multiply
    17,098.80x = 25,650.60 × 5,410.80
  4. Step 4: Simplify right side
    17,098.80x = 138,790,266.48
  5. Step 5: Solve for x
    x = 138,790,266.48/17,098.80
  6. Step 6: Final answer
    x = 8,116.96

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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.