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Finding the Fourth Proportional to 17,843.72, 26,764.50 and 4,696.07

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Solution

The fourth proportional to 17,843.72, 26,764.50 and 4,696.07 is: 7,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.72 : 26,764.50 = 4,696.07 : x
  2. Step 2: Convert to fraction form
    17,843.72/26,764.50 = 4,696.07/x
  3. Step 3: Cross multiply
    17,843.72x = 26,764.50 × 4,696.07
  4. Step 4: Simplify right side
    17,843.72x = 125,687,965.52
  5. Step 5: Solve for x
    x = 125,687,965.52/17,843.72
  6. Step 6: Final answer
    x = 7,043.82

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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.