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Finding the Fourth Proportional to 27,414.45, 41,096.84 and 9,871.88

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Solution

The fourth proportional to 27,414.45, 41,096.84 and 9,871.88 is: 14,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.45 : 41,096.84 = 9,871.88 : x
  2. Step 2: Convert to fraction form
    27,414.45/41,096.84 = 9,871.88/x
  3. Step 3: Cross multiply
    27,414.45x = 41,096.84 × 9,871.88
  4. Step 4: Simplify right side
    27,414.45x = 405,702,818.02
  5. Step 5: Solve for x
    x = 405,702,818.02/27,414.45
  6. Step 6: Final answer
    x = 14,798.87

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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.