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Finding the Fourth Proportional to 20,729.80, 31,094.70 and 16,064.20

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Solution

The fourth proportional to 20,729.80, 31,094.70 and 16,064.20 is: 24,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,729.80 : 31,094.70 = 16,064.20 : x
  2. Step 2: Convert to fraction form
    20,729.80/31,094.70 = 16,064.20/x
  3. Step 3: Cross multiply
    20,729.80x = 31,094.70 × 16,064.20
  4. Step 4: Simplify right side
    20,729.80x = 499,511,479.74
  5. Step 5: Solve for x
    x = 499,511,479.74/20,729.80
  6. Step 6: Final answer
    x = 24,096.30

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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.