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Finding the Fourth Proportional to 11,636.90, 17,466.34 and 7,744.04

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Solution

The fourth proportional to 11,636.90, 17,466.34 and 7,744.04 is: 11,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.90 : 17,466.34 = 7,744.04 : x
  2. Step 2: Convert to fraction form
    11,636.90/17,466.34 = 7,744.04/x
  3. Step 3: Cross multiply
    11,636.90x = 17,466.34 × 7,744.04
  4. Step 4: Simplify right side
    11,636.90x = 135,260,035.61
  5. Step 5: Solve for x
    x = 135,260,035.61/11,636.90
  6. Step 6: Final answer
    x = 11,623.37

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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.