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Finding the Fourth Proportional to 17,143.20, 25,717.44 and 7,282.50

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Solution

The fourth proportional to 17,143.20, 25,717.44 and 7,282.50 is: 10,924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.20 : 25,717.44 = 7,282.50 : x
  2. Step 2: Convert to fraction form
    17,143.20/25,717.44 = 7,282.50/x
  3. Step 3: Cross multiply
    17,143.20x = 25,717.44 × 7,282.50
  4. Step 4: Simplify right side
    17,143.20x = 187,287,256.80
  5. Step 5: Solve for x
    x = 187,287,256.80/17,143.20
  6. Step 6: Final answer
    x = 10,924.87

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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.