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Finding the Fourth Proportional to 11,638.26, 16,077.24 and 9,019.44

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Solution

The fourth proportional to 11,638.26, 16,077.24 and 9,019.44 is: 12,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.26 : 16,077.24 = 9,019.44 : x
  2. Step 2: Convert to fraction form
    11,638.26/16,077.24 = 9,019.44/x
  3. Step 3: Cross multiply
    11,638.26x = 16,077.24 × 9,019.44
  4. Step 4: Simplify right side
    11,638.26x = 145,007,701.55
  5. Step 5: Solve for x
    x = 145,007,701.55/11,638.26
  6. Step 6: Final answer
    x = 12,459.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.