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Finding the Fourth Proportional to 17,296.92, 25,940.55 and 7,434

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Solution

The fourth proportional to 17,296.92, 25,940.55 and 7,434 is: 11,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.92 : 25,940.55 = 7,434 : x
  2. Step 2: Convert to fraction form
    17,296.92/25,940.55 = 7,434/x
  3. Step 3: Cross multiply
    17,296.92x = 25,940.55 × 7,434
  4. Step 4: Simplify right side
    17,296.92x = 192,842,048.70
  5. Step 5: Solve for x
    x = 192,842,048.70/17,296.92
  6. Step 6: Final answer
    x = 11,148.92

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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.