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Finding the Fourth Proportional to 17,234.82, 25,851.96 and 9,823.46

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Solution

The fourth proportional to 17,234.82, 25,851.96 and 9,823.46 is: 14,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.82 : 25,851.96 = 9,823.46 : x
  2. Step 2: Convert to fraction form
    17,234.82/25,851.96 = 9,823.46/x
  3. Step 3: Cross multiply
    17,234.82x = 25,851.96 × 9,823.46
  4. Step 4: Simplify right side
    17,234.82x = 253,955,565.72
  5. Step 5: Solve for x
    x = 253,955,565.72/17,234.82
  6. Step 6: Final answer
    x = 14,735.03

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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.