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Finding the Fourth Proportional to 20,043.70, 30,032.24 and 14,108.15

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Solution

The fourth proportional to 20,043.70, 30,032.24 and 14,108.15 is: 21,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.70 : 30,032.24 = 14,108.15 : x
  2. Step 2: Convert to fraction form
    20,043.70/30,032.24 = 14,108.15/x
  3. Step 3: Cross multiply
    20,043.70x = 30,032.24 × 14,108.15
  4. Step 4: Simplify right side
    20,043.70x = 423,699,351.30
  5. Step 5: Solve for x
    x = 423,699,351.30/20,043.70
  6. Step 6: Final answer
    x = 21,138.78

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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.