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Finding the Fourth Proportional to 17,295.50, 25,953.74 and 6,906.38

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Solution

The fourth proportional to 17,295.50, 25,953.74 and 6,906.38 is: 10,363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,295.50 : 25,953.74 = 6,906.38 : x
  2. Step 2: Convert to fraction form
    17,295.50/25,953.74 = 6,906.38/x
  3. Step 3: Cross multiply
    17,295.50x = 25,953.74 × 6,906.38
  4. Step 4: Simplify right side
    17,295.50x = 179,246,278.36
  5. Step 5: Solve for x
    x = 179,246,278.36/17,295.50
  6. Step 6: Final answer
    x = 10,363.76

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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.