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Finding the Fourth Proportional to 11,355.40, 17,014.20 and 8,231.50

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Solution

The fourth proportional to 11,355.40, 17,014.20 and 8,231.50 is: 12,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.40 : 17,014.20 = 8,231.50 : x
  2. Step 2: Convert to fraction form
    11,355.40/17,014.20 = 8,231.50/x
  3. Step 3: Cross multiply
    11,355.40x = 17,014.20 × 8,231.50
  4. Step 4: Simplify right side
    11,355.40x = 140,052,387.30
  5. Step 5: Solve for x
    x = 140,052,387.30/11,355.40
  6. Step 6: Final answer
    x = 12,333.55

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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.