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Finding the Fourth Proportional to 11,832.96, 17,756.64 and 11,735.04

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Solution

The fourth proportional to 11,832.96, 17,756.64 and 11,735.04 is: 17,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.96 : 17,756.64 = 11,735.04 : x
  2. Step 2: Convert to fraction form
    11,832.96/17,756.64 = 11,735.04/x
  3. Step 3: Cross multiply
    11,832.96x = 17,756.64 × 11,735.04
  4. Step 4: Simplify right side
    11,832.96x = 208,374,880.67
  5. Step 5: Solve for x
    x = 208,374,880.67/11,832.96
  6. Step 6: Final answer
    x = 17,609.70

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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.