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Finding the Fourth Proportional to 11,771.22, 17,618.56 and 8,650.50

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Solution

The fourth proportional to 11,771.22, 17,618.56 and 8,650.50 is: 12,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.22 : 17,618.56 = 8,650.50 : x
  2. Step 2: Convert to fraction form
    11,771.22/17,618.56 = 8,650.50/x
  3. Step 3: Cross multiply
    11,771.22x = 17,618.56 × 8,650.50
  4. Step 4: Simplify right side
    11,771.22x = 152,409,314.24
  5. Step 5: Solve for x
    x = 152,409,314.24/11,771.22
  6. Step 6: Final answer
    x = 12,947.62

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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.