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Finding the Fourth Proportional to 20,148.33, 30,164.18 and 16,824.09

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Solution

The fourth proportional to 20,148.33, 30,164.18 and 16,824.09 is: 25,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.33 : 30,164.18 = 16,824.09 : x
  2. Step 2: Convert to fraction form
    20,148.33/30,164.18 = 16,824.09/x
  3. Step 3: Cross multiply
    20,148.33x = 30,164.18 × 16,824.09
  4. Step 4: Simplify right side
    20,148.33x = 507,484,794.98
  5. Step 5: Solve for x
    x = 507,484,794.98/20,148.33
  6. Step 6: Final answer
    x = 25,187.44

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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.