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Finding the Fourth Proportional to 27,007.96, 40,511.60 and 9,238.44

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Solution

The fourth proportional to 27,007.96, 40,511.60 and 9,238.44 is: 13,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.96 : 40,511.60 = 9,238.44 : x
  2. Step 2: Convert to fraction form
    27,007.96/40,511.60 = 9,238.44/x
  3. Step 3: Cross multiply
    27,007.96x = 40,511.60 × 9,238.44
  4. Step 4: Simplify right side
    27,007.96x = 374,263,985.90
  5. Step 5: Solve for x
    x = 374,263,985.90/27,007.96
  6. Step 6: Final answer
    x = 13,857.54

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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.