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Finding the Fourth Proportional to 18,694.56, 25,797.78 and 10,311.06

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Solution

The fourth proportional to 18,694.56, 25,797.78 and 10,311.06 is: 14,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,694.56 : 25,797.78 = 10,311.06 : x
  2. Step 2: Convert to fraction form
    18,694.56/25,797.78 = 10,311.06/x
  3. Step 3: Cross multiply
    18,694.56x = 25,797.78 × 10,311.06
  4. Step 4: Simplify right side
    18,694.56x = 266,002,457.45
  5. Step 5: Solve for x
    x = 266,002,457.45/18,694.56
  6. Step 6: Final answer
    x = 14,228.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.