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Finding the Fourth Proportional to 20,509.80, 30,764.70 and 16,816.20

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Solution

The fourth proportional to 20,509.80, 30,764.70 and 16,816.20 is: 25,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.80 : 30,764.70 = 16,816.20 : x
  2. Step 2: Convert to fraction form
    20,509.80/30,764.70 = 16,816.20/x
  3. Step 3: Cross multiply
    20,509.80x = 30,764.70 × 16,816.20
  4. Step 4: Simplify right side
    20,509.80x = 517,345,348.14
  5. Step 5: Solve for x
    x = 517,345,348.14/20,509.80
  6. Step 6: Final answer
    x = 25,224.30

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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.