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Finding the Fourth Proportional to 20,034.26, 30,043.71 and 6,884.18

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Solution

The fourth proportional to 20,034.26, 30,043.71 and 6,884.18 is: 10,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034.26 : 30,043.71 = 6,884.18 : x
  2. Step 2: Convert to fraction form
    20,034.26/30,043.71 = 6,884.18/x
  3. Step 3: Cross multiply
    20,034.26x = 30,043.71 × 6,884.18
  4. Step 4: Simplify right side
    20,034.26x = 206,826,307.51
  5. Step 5: Solve for x
    x = 206,826,307.51/20,034.26
  6. Step 6: Final answer
    x = 10,323.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.