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Finding the Fourth Proportional to 27,682.86, 41,499.60 and 10,148.60

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Solution

The fourth proportional to 27,682.86, 41,499.60 and 10,148.60 is: 15,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.86 : 41,499.60 = 10,148.60 : x
  2. Step 2: Convert to fraction form
    27,682.86/41,499.60 = 10,148.60/x
  3. Step 3: Cross multiply
    27,682.86x = 41,499.60 × 10,148.60
  4. Step 4: Simplify right side
    27,682.86x = 421,162,840.56
  5. Step 5: Solve for x
    x = 421,162,840.56/27,682.86
  6. Step 6: Final answer
    x = 15,213.85

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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.