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Finding the Fourth Proportional to 16,493.80, 24,744.36 and 8,178.34

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Solution

The fourth proportional to 16,493.80, 24,744.36 and 8,178.34 is: 12,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.80 : 24,744.36 = 8,178.34 : x
  2. Step 2: Convert to fraction form
    16,493.80/24,744.36 = 8,178.34/x
  3. Step 3: Cross multiply
    16,493.80x = 24,744.36 × 8,178.34
  4. Step 4: Simplify right side
    16,493.80x = 202,367,789.16
  5. Step 5: Solve for x
    x = 202,367,789.16/16,493.80
  6. Step 6: Final answer
    x = 12,269.32

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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.