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Finding the Fourth Proportional to 13,468.50, 20,201.20 and 5,148.33

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Solution

The fourth proportional to 13,468.50, 20,201.20 and 5,148.33 is: 7,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.50 : 20,201.20 = 5,148.33 : x
  2. Step 2: Convert to fraction form
    13,468.50/20,201.20 = 5,148.33/x
  3. Step 3: Cross multiply
    13,468.50x = 20,201.20 × 5,148.33
  4. Step 4: Simplify right side
    13,468.50x = 104,002,355.37
  5. Step 5: Solve for x
    x = 104,002,355.37/13,468.50
  6. Step 6: Final answer
    x = 7,721.90

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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.