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Finding the Fourth Proportional to 17,229.38, 25,839.44 and 4,746.43

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Solution

The fourth proportional to 17,229.38, 25,839.44 and 4,746.43 is: 7,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.38 : 25,839.44 = 4,746.43 : x
  2. Step 2: Convert to fraction form
    17,229.38/25,839.44 = 4,746.43/x
  3. Step 3: Cross multiply
    17,229.38x = 25,839.44 × 4,746.43
  4. Step 4: Simplify right side
    17,229.38x = 122,645,146.26
  5. Step 5: Solve for x
    x = 122,645,146.26/17,229.38
  6. Step 6: Final answer
    x = 7,118.37

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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.