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Finding the Fourth Proportional to 11,911.20, 17,866.80 and 8,224.80

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Solution

The fourth proportional to 11,911.20, 17,866.80 and 8,224.80 is: 12,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.20 : 17,866.80 = 8,224.80 : x
  2. Step 2: Convert to fraction form
    11,911.20/17,866.80 = 8,224.80/x
  3. Step 3: Cross multiply
    11,911.20x = 17,866.80 × 8,224.80
  4. Step 4: Simplify right side
    11,911.20x = 146,950,856.64
  5. Step 5: Solve for x
    x = 146,950,856.64/11,911.20
  6. Step 6: Final answer
    x = 12,337.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.