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Finding the Fourth Proportional to 8,170.34, 12,255.50 and 2,014.34

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Solution

The fourth proportional to 8,170.34, 12,255.50 and 2,014.34 is: 3,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.34 : 12,255.50 = 2,014.34 : x
  2. Step 2: Convert to fraction form
    8,170.34/12,255.50 = 2,014.34/x
  3. Step 3: Cross multiply
    8,170.34x = 12,255.50 × 2,014.34
  4. Step 4: Simplify right side
    8,170.34x = 24,686,687.63
  5. Step 5: Solve for x
    x = 24,686,687.63/8,170.34
  6. Step 6: Final answer
    x = 3,021.50

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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.