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Finding the Fourth Proportional to 27,451.09, 41,176.64 and 6,674.41

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Solution

The fourth proportional to 27,451.09, 41,176.64 and 6,674.41 is: 10,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,451.09 : 41,176.64 = 6,674.41 : x
  2. Step 2: Convert to fraction form
    27,451.09/41,176.64 = 6,674.41/x
  3. Step 3: Cross multiply
    27,451.09x = 41,176.64 × 6,674.41
  4. Step 4: Simplify right side
    27,451.09x = 274,829,777.78
  5. Step 5: Solve for x
    x = 274,829,777.78/27,451.09
  6. Step 6: Final answer
    x = 10,011.62

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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.