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Finding the Fourth Proportional to 17,882.92, 26,825.82 and 7,489

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Solution

The fourth proportional to 17,882.92, 26,825.82 and 7,489 is: 11,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.92 : 26,825.82 = 7,489 : x
  2. Step 2: Convert to fraction form
    17,882.92/26,825.82 = 7,489/x
  3. Step 3: Cross multiply
    17,882.92x = 26,825.82 × 7,489
  4. Step 4: Simplify right side
    17,882.92x = 200,898,565.98
  5. Step 5: Solve for x
    x = 200,898,565.98/17,882.92
  6. Step 6: Final answer
    x = 11,234.10

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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.