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Finding the Fourth Proportional to 20,807.92, 28,715.61 and 11,855.80

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Solution

The fourth proportional to 20,807.92, 28,715.61 and 11,855.80 is: 16,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.92 : 28,715.61 = 11,855.80 : x
  2. Step 2: Convert to fraction form
    20,807.92/28,715.61 = 11,855.80/x
  3. Step 3: Cross multiply
    20,807.92x = 28,715.61 × 11,855.80
  4. Step 4: Simplify right side
    20,807.92x = 340,446,529.04
  5. Step 5: Solve for x
    x = 340,446,529.04/20,807.92
  6. Step 6: Final answer
    x = 16,361.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.