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Finding the Fourth Proportional to 17,197.52, 25,793.40 and 7,834.64

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Solution

The fourth proportional to 17,197.52, 25,793.40 and 7,834.64 is: 11,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.52 : 25,793.40 = 7,834.64 : x
  2. Step 2: Convert to fraction form
    17,197.52/25,793.40 = 7,834.64/x
  3. Step 3: Cross multiply
    17,197.52x = 25,793.40 × 7,834.64
  4. Step 4: Simplify right side
    17,197.52x = 202,082,003.38
  5. Step 5: Solve for x
    x = 202,082,003.38/17,197.52
  6. Step 6: Final answer
    x = 11,750.65

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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.