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Finding the Fourth Proportional to 17,884.42, 26,810.21 and 6,189.46

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Solution

The fourth proportional to 17,884.42, 26,810.21 and 6,189.46 is: 9,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.42 : 26,810.21 = 6,189.46 : x
  2. Step 2: Convert to fraction form
    17,884.42/26,810.21 = 6,189.46/x
  3. Step 3: Cross multiply
    17,884.42x = 26,810.21 × 6,189.46
  4. Step 4: Simplify right side
    17,884.42x = 165,940,691.44
  5. Step 5: Solve for x
    x = 165,940,691.44/17,884.42
  6. Step 6: Final answer
    x = 9,278.51

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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.