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Finding the Fourth Proportional to 20,809.64, 31,156.70 and 16,201.64

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Solution

The fourth proportional to 20,809.64, 31,156.70 and 16,201.64 is: 24,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.64 : 31,156.70 = 16,201.64 : x
  2. Step 2: Convert to fraction form
    20,809.64/31,156.70 = 16,201.64/x
  3. Step 3: Cross multiply
    20,809.64x = 31,156.70 × 16,201.64
  4. Step 4: Simplify right side
    20,809.64x = 504,789,636.99
  5. Step 5: Solve for x
    x = 504,789,636.99/20,809.64
  6. Step 6: Final answer
    x = 24,257.49

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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.