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Finding the Fourth Proportional to 17,102.80, 25,659.06 and 8,342.56

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Solution

The fourth proportional to 17,102.80, 25,659.06 and 8,342.56 is: 12,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.80 : 25,659.06 = 8,342.56 : x
  2. Step 2: Convert to fraction form
    17,102.80/25,659.06 = 8,342.56/x
  3. Step 3: Cross multiply
    17,102.80x = 25,659.06 × 8,342.56
  4. Step 4: Simplify right side
    17,102.80x = 214,062,247.59
  5. Step 5: Solve for x
    x = 214,062,247.59/17,102.80
  6. Step 6: Final answer
    x = 12,516.21

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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.