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Finding the Fourth Proportional to 20,157.80, 30,236.70 and 16,464.20

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Solution

The fourth proportional to 20,157.80, 30,236.70 and 16,464.20 is: 24,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.80 : 30,236.70 = 16,464.20 : x
  2. Step 2: Convert to fraction form
    20,157.80/30,236.70 = 16,464.20/x
  3. Step 3: Cross multiply
    20,157.80x = 30,236.70 × 16,464.20
  4. Step 4: Simplify right side
    20,157.80x = 497,823,076.14
  5. Step 5: Solve for x
    x = 497,823,076.14/20,157.80
  6. Step 6: Final answer
    x = 24,696.30

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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.