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Finding the Fourth Proportional to 16,523.94, 24,795 and 7,164.03

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Solution

The fourth proportional to 16,523.94, 24,795 and 7,164.03 is: 10,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.94 : 24,795 = 7,164.03 : x
  2. Step 2: Convert to fraction form
    16,523.94/24,795 = 7,164.03/x
  3. Step 3: Cross multiply
    16,523.94x = 24,795 × 7,164.03
  4. Step 4: Simplify right side
    16,523.94x = 177,632,123.85
  5. Step 5: Solve for x
    x = 177,632,123.85/16,523.94
  6. Step 6: Final answer
    x = 10,749.99

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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.