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Finding the Fourth Proportional to 20,200.25, 30,311.65 and 11,776.54

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Solution

The fourth proportional to 20,200.25, 30,311.65 and 11,776.54 is: 17,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.25 : 30,311.65 = 11,776.54 : x
  2. Step 2: Convert to fraction form
    20,200.25/30,311.65 = 11,776.54/x
  3. Step 3: Cross multiply
    20,200.25x = 30,311.65 × 11,776.54
  4. Step 4: Simplify right side
    20,200.25x = 356,966,207.13
  5. Step 5: Solve for x
    x = 356,966,207.13/20,200.25
  6. Step 6: Final answer
    x = 17,671.38

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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.