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Finding the Fourth Proportional to 11,358.40, 17,018.70 and 8,234.50

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Solution

The fourth proportional to 11,358.40, 17,018.70 and 8,234.50 is: 12,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.40 : 17,018.70 = 8,234.50 : x
  2. Step 2: Convert to fraction form
    11,358.40/17,018.70 = 8,234.50/x
  3. Step 3: Cross multiply
    11,358.40x = 17,018.70 × 8,234.50
  4. Step 4: Simplify right side
    11,358.40x = 140,140,485.15
  5. Step 5: Solve for x
    x = 140,140,485.15/11,358.40
  6. Step 6: Final answer
    x = 12,338.05

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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.