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Finding the Fourth Proportional to 16,909.66, 25,369.89 and 8,145.46

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Solution

The fourth proportional to 16,909.66, 25,369.89 and 8,145.46 is: 12,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,909.66 : 25,369.89 = 8,145.46 : x
  2. Step 2: Convert to fraction form
    16,909.66/25,369.89 = 8,145.46/x
  3. Step 3: Cross multiply
    16,909.66x = 25,369.89 × 8,145.46
  4. Step 4: Simplify right side
    16,909.66x = 206,649,424.20
  5. Step 5: Solve for x
    x = 206,649,424.20/16,909.66
  6. Step 6: Final answer
    x = 12,220.79

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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.