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Finding the Fourth Proportional to 20,000.21, 29,983.31 and 12,214.49

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Solution

The fourth proportional to 20,000.21, 29,983.31 and 12,214.49 is: 18,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.21 : 29,983.31 = 12,214.49 : x
  2. Step 2: Convert to fraction form
    20,000.21/29,983.31 = 12,214.49/x
  3. Step 3: Cross multiply
    20,000.21x = 29,983.31 × 12,214.49
  4. Step 4: Simplify right side
    20,000.21x = 366,230,779.09
  5. Step 5: Solve for x
    x = 366,230,779.09/20,000.21
  6. Step 6: Final answer
    x = 18,311.35

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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.