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Finding the Fourth Proportional to 14,836.50, 20,474.42 and 8,122.18

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Solution

The fourth proportional to 14,836.50, 20,474.42 and 8,122.18 is: 11,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836.50 : 20,474.42 = 8,122.18 : x
  2. Step 2: Convert to fraction form
    14,836.50/20,474.42 = 8,122.18/x
  3. Step 3: Cross multiply
    14,836.50x = 20,474.42 × 8,122.18
  4. Step 4: Simplify right side
    14,836.50x = 166,296,924.64
  5. Step 5: Solve for x
    x = 166,296,924.64/14,836.50
  6. Step 6: Final answer
    x = 11,208.64

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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.