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Finding the Fourth Proportional to 17,000.50, 25,472.31 and 12,046.18

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Solution

The fourth proportional to 17,000.50, 25,472.31 and 12,046.18 is: 18,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.50 : 25,472.31 = 12,046.18 : x
  2. Step 2: Convert to fraction form
    17,000.50/25,472.31 = 12,046.18/x
  3. Step 3: Cross multiply
    17,000.50x = 25,472.31 × 12,046.18
  4. Step 4: Simplify right side
    17,000.50x = 306,844,031.28
  5. Step 5: Solve for x
    x = 306,844,031.28/17,000.50
  6. Step 6: Final answer
    x = 18,049.12

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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.