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Finding the Fourth Proportional to 30,375.26, 41,917.89 and 17,800

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Solution

The fourth proportional to 30,375.26, 41,917.89 and 17,800 is: 24,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375.26 : 41,917.89 = 17,800 : x
  2. Step 2: Convert to fraction form
    30,375.26/41,917.89 = 17,800/x
  3. Step 3: Cross multiply
    30,375.26x = 41,917.89 × 17,800
  4. Step 4: Simplify right side
    30,375.26x = 746,138,442
  5. Step 5: Solve for x
    x = 746,138,442/30,375.26
  6. Step 6: Final answer
    x = 24,564.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.