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Finding the Fourth Proportional to 20,120.17, 30,209.87 and 11,252.87

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Solution

The fourth proportional to 20,120.17, 30,209.87 and 11,252.87 is: 16,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120.17 : 30,209.87 = 11,252.87 : x
  2. Step 2: Convert to fraction form
    20,120.17/30,209.87 = 11,252.87/x
  3. Step 3: Cross multiply
    20,120.17x = 30,209.87 × 11,252.87
  4. Step 4: Simplify right side
    20,120.17x = 339,947,739.83
  5. Step 5: Solve for x
    x = 339,947,739.83/20,120.17
  6. Step 6: Final answer
    x = 16,895.87

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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.