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Finding the Fourth Proportional to 11,627.96, 17,409.98 and 8,121.48

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Solution

The fourth proportional to 11,627.96, 17,409.98 and 8,121.48 is: 12,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.96 : 17,409.98 = 8,121.48 : x
  2. Step 2: Convert to fraction form
    11,627.96/17,409.98 = 8,121.48/x
  3. Step 3: Cross multiply
    11,627.96x = 17,409.98 × 8,121.48
  4. Step 4: Simplify right side
    11,627.96x = 141,394,804.37
  5. Step 5: Solve for x
    x = 141,394,804.37/11,627.96
  6. Step 6: Final answer
    x = 12,159.90

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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.