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Finding the Fourth Proportional to 17,310.88, 25,942.02 and 7,442.74

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Solution

The fourth proportional to 17,310.88, 25,942.02 and 7,442.74 is: 11,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310.88 : 25,942.02 = 7,442.74 : x
  2. Step 2: Convert to fraction form
    17,310.88/25,942.02 = 7,442.74/x
  3. Step 3: Cross multiply
    17,310.88x = 25,942.02 × 7,442.74
  4. Step 4: Simplify right side
    17,310.88x = 193,079,709.93
  5. Step 5: Solve for x
    x = 193,079,709.93/17,310.88
  6. Step 6: Final answer
    x = 11,153.66

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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.