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Finding the Fourth Proportional to 20,797.94, 31,164.10 and 11,423.92

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Solution

The fourth proportional to 20,797.94, 31,164.10 and 11,423.92 is: 17,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.94 : 31,164.10 = 11,423.92 : x
  2. Step 2: Convert to fraction form
    20,797.94/31,164.10 = 11,423.92/x
  3. Step 3: Cross multiply
    20,797.94x = 31,164.10 × 11,423.92
  4. Step 4: Simplify right side
    20,797.94x = 356,016,185.27
  5. Step 5: Solve for x
    x = 356,016,185.27/20,797.94
  6. Step 6: Final answer
    x = 17,117.86

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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.