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Finding the Fourth Proportional to 17,146.17, 25,722 and 7,285.50

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Solution

The fourth proportional to 17,146.17, 25,722 and 7,285.50 is: 10,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.17 : 25,722 = 7,285.50 : x
  2. Step 2: Convert to fraction form
    17,146.17/25,722 = 7,285.50/x
  3. Step 3: Cross multiply
    17,146.17x = 25,722 × 7,285.50
  4. Step 4: Simplify right side
    17,146.17x = 187,397,631
  5. Step 5: Solve for x
    x = 187,397,631/17,146.17
  6. Step 6: Final answer
    x = 10,929.42

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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.