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Finding the Fourth Proportional to 11,640.96, 17,461.44 and 8,193.60

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Solution

The fourth proportional to 11,640.96, 17,461.44 and 8,193.60 is: 12,290.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.96 : 17,461.44 = 8,193.60 : x
  2. Step 2: Convert to fraction form
    11,640.96/17,461.44 = 8,193.60/x
  3. Step 3: Cross multiply
    11,640.96x = 17,461.44 × 8,193.60
  4. Step 4: Simplify right side
    11,640.96x = 143,072,054.78
  5. Step 5: Solve for x
    x = 143,072,054.78/11,640.96
  6. Step 6: Final answer
    x = 12,290.40

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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.