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Finding the Fourth Proportional to 20,214.76, 30,271.50 and 12,796.84

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Solution

The fourth proportional to 20,214.76, 30,271.50 and 12,796.84 is: 19,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.76 : 30,271.50 = 12,796.84 : x
  2. Step 2: Convert to fraction form
    20,214.76/30,271.50 = 12,796.84/x
  3. Step 3: Cross multiply
    20,214.76x = 30,271.50 × 12,796.84
  4. Step 4: Simplify right side
    20,214.76x = 387,379,542.06
  5. Step 5: Solve for x
    x = 387,379,542.06/20,214.76
  6. Step 6: Final answer
    x = 19,163.20

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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.