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Finding the Fourth Proportional to 13,865.81, 20,800.80 and 5,100.05

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Solution

The fourth proportional to 13,865.81, 20,800.80 and 5,100.05 is: 7,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.81 : 20,800.80 = 5,100.05 : x
  2. Step 2: Convert to fraction form
    13,865.81/20,800.80 = 5,100.05/x
  3. Step 3: Cross multiply
    13,865.81x = 20,800.80 × 5,100.05
  4. Step 4: Simplify right side
    13,865.81x = 106,085,172.04
  5. Step 5: Solve for x
    x = 106,085,172.04/13,865.81
  6. Step 6: Final answer
    x = 7,650.85

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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.