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Finding the Fourth Proportional to 20,178.46, 30,272.54 and 6,327.46

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Solution

The fourth proportional to 20,178.46, 30,272.54 and 6,327.46 is: 9,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.46 : 30,272.54 = 6,327.46 : x
  2. Step 2: Convert to fraction form
    20,178.46/30,272.54 = 6,327.46/x
  3. Step 3: Cross multiply
    20,178.46x = 30,272.54 × 6,327.46
  4. Step 4: Simplify right side
    20,178.46x = 191,548,285.95
  5. Step 5: Solve for x
    x = 191,548,285.95/20,178.46
  6. Step 6: Final answer
    x = 9,492.71

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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.