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Finding the Fourth Proportional to 17,227.83, 25,835.07 and 6,696.47

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Solution

The fourth proportional to 17,227.83, 25,835.07 and 6,696.47 is: 10,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,227.83 : 25,835.07 = 6,696.47 : x
  2. Step 2: Convert to fraction form
    17,227.83/25,835.07 = 6,696.47/x
  3. Step 3: Cross multiply
    17,227.83x = 25,835.07 × 6,696.47
  4. Step 4: Simplify right side
    17,227.83x = 173,003,642.03
  5. Step 5: Solve for x
    x = 173,003,642.03/17,227.83
  6. Step 6: Final answer
    x = 10,042.10

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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.