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Finding the Fourth Proportional to 20,034.24, 30,051.21 and 8,185.48

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Solution

The fourth proportional to 20,034.24, 30,051.21 and 8,185.48 is: 12,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034.24 : 30,051.21 = 8,185.48 : x
  2. Step 2: Convert to fraction form
    20,034.24/30,051.21 = 8,185.48/x
  3. Step 3: Cross multiply
    20,034.24x = 30,051.21 × 8,185.48
  4. Step 4: Simplify right side
    20,034.24x = 245,983,578.43
  5. Step 5: Solve for x
    x = 245,983,578.43/20,034.24
  6. Step 6: Final answer
    x = 12,278.16

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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.