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Finding the Fourth Proportional to 20,145.38, 30,214.82 and 14,284.22

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Solution

The fourth proportional to 20,145.38, 30,214.82 and 14,284.22 is: 21,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.38 : 30,214.82 = 14,284.22 : x
  2. Step 2: Convert to fraction form
    20,145.38/30,214.82 = 14,284.22/x
  3. Step 3: Cross multiply
    20,145.38x = 30,214.82 × 14,284.22
  4. Step 4: Simplify right side
    20,145.38x = 431,595,020.78
  5. Step 5: Solve for x
    x = 431,595,020.78/20,145.38
  6. Step 6: Final answer
    x = 21,424.03

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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.