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Finding the Fourth Proportional to 13,806, 20,709.48 and 4,571.76

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Solution

The fourth proportional to 13,806, 20,709.48 and 4,571.76 is: 6,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 20,709.48 = 4,571.76 : x
  2. Step 2: Convert to fraction form
    13,806/20,709.48 = 4,571.76/x
  3. Step 3: Cross multiply
    13,806x = 20,709.48 × 4,571.76
  4. Step 4: Simplify right side
    13,806x = 94,678,772.28
  5. Step 5: Solve for x
    x = 94,678,772.28/13,806
  6. Step 6: Final answer
    x = 6,857.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.