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Finding the Fourth Proportional to 27,236.86, 40,850.42 and 7,246.48

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Solution

The fourth proportional to 27,236.86, 40,850.42 and 7,246.48 is: 10,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,236.86 : 40,850.42 = 7,246.48 : x
  2. Step 2: Convert to fraction form
    27,236.86/40,850.42 = 7,246.48/x
  3. Step 3: Cross multiply
    27,236.86x = 40,850.42 × 7,246.48
  4. Step 4: Simplify right side
    27,236.86x = 296,021,751.52
  5. Step 5: Solve for x
    x = 296,021,751.52/27,236.86
  6. Step 6: Final answer
    x = 10,868.42

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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.