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Finding the Fourth Proportional to 16,782.68, 25,174.10 and 5,096

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Solution

The fourth proportional to 16,782.68, 25,174.10 and 5,096 is: 7,644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.68 : 25,174.10 = 5,096 : x
  2. Step 2: Convert to fraction form
    16,782.68/25,174.10 = 5,096/x
  3. Step 3: Cross multiply
    16,782.68x = 25,174.10 × 5,096
  4. Step 4: Simplify right side
    16,782.68x = 128,287,213.60
  5. Step 5: Solve for x
    x = 128,287,213.60/16,782.68
  6. Step 6: Final answer
    x = 7,644.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.