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Finding the Fourth Proportional to 11,409.10, 17,150.10 and 8,144.80

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Solution

The fourth proportional to 11,409.10, 17,150.10 and 8,144.80 is: 12,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.10 : 17,150.10 = 8,144.80 : x
  2. Step 2: Convert to fraction form
    11,409.10/17,150.10 = 8,144.80/x
  3. Step 3: Cross multiply
    11,409.10x = 17,150.10 × 8,144.80
  4. Step 4: Simplify right side
    11,409.10x = 139,684,134.48
  5. Step 5: Solve for x
    x = 139,684,134.48/11,409.10
  6. Step 6: Final answer
    x = 12,243.22

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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.