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Finding the Fourth Proportional to 17,449.72, 26,147.70 and 8,083.96

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Solution

The fourth proportional to 17,449.72, 26,147.70 and 8,083.96 is: 12,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.72 : 26,147.70 = 8,083.96 : x
  2. Step 2: Convert to fraction form
    17,449.72/26,147.70 = 8,083.96/x
  3. Step 3: Cross multiply
    17,449.72x = 26,147.70 × 8,083.96
  4. Step 4: Simplify right side
    17,449.72x = 211,376,960.89
  5. Step 5: Solve for x
    x = 211,376,960.89/17,449.72
  6. Step 6: Final answer
    x = 12,113.49

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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.