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Finding the Fourth Proportional to 20,934, 31,351.78 and 16,521.92

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Solution

The fourth proportional to 20,934, 31,351.78 and 16,521.92 is: 24,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,934 : 31,351.78 = 16,521.92 : x
  2. Step 2: Convert to fraction form
    20,934/31,351.78 = 16,521.92/x
  3. Step 3: Cross multiply
    20,934x = 31,351.78 × 16,521.92
  4. Step 4: Simplify right side
    20,934x = 517,991,601.02
  5. Step 5: Solve for x
    x = 517,991,601.02/20,934
  6. Step 6: Final answer
    x = 24,744.03

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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.