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Finding the Fourth Proportional to 11,643.39, 17,457.78 and 8,481.96

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Solution

The fourth proportional to 11,643.39, 17,457.78 and 8,481.96 is: 12,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.39 : 17,457.78 = 8,481.96 : x
  2. Step 2: Convert to fraction form
    11,643.39/17,457.78 = 8,481.96/x
  3. Step 3: Cross multiply
    11,643.39x = 17,457.78 × 8,481.96
  4. Step 4: Simplify right side
    11,643.39x = 148,076,191.65
  5. Step 5: Solve for x
    x = 148,076,191.65/11,643.39
  6. Step 6: Final answer
    x = 12,717.62

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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.