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Finding the Fourth Proportional to 16,923, 25,385.72 and 5,234.72

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Solution

The fourth proportional to 16,923, 25,385.72 and 5,234.72 is: 7,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923 : 25,385.72 = 5,234.72 : x
  2. Step 2: Convert to fraction form
    16,923/25,385.72 = 5,234.72/x
  3. Step 3: Cross multiply
    16,923x = 25,385.72 × 5,234.72
  4. Step 4: Simplify right side
    16,923x = 132,887,136.20
  5. Step 5: Solve for x
    x = 132,887,136.20/16,923
  6. Step 6: Final answer
    x = 7,852.46

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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.