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Finding the Fourth Proportional to 20,274.71, 30,414.97 and 6,235.92

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Solution

The fourth proportional to 20,274.71, 30,414.97 and 6,235.92 is: 9,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.71 : 30,414.97 = 6,235.92 : x
  2. Step 2: Convert to fraction form
    20,274.71/30,414.97 = 6,235.92/x
  3. Step 3: Cross multiply
    20,274.71x = 30,414.97 × 6,235.92
  4. Step 4: Simplify right side
    20,274.71x = 189,665,319.72
  5. Step 5: Solve for x
    x = 189,665,319.72/20,274.71
  6. Step 6: Final answer
    x = 9,354.77

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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.