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Finding the Fourth Proportional to 13,571.50, 20,355.62 and 5,782.54

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Solution

The fourth proportional to 13,571.50, 20,355.62 and 5,782.54 is: 8,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.50 : 20,355.62 = 5,782.54 : x
  2. Step 2: Convert to fraction form
    13,571.50/20,355.62 = 5,782.54/x
  3. Step 3: Cross multiply
    13,571.50x = 20,355.62 × 5,782.54
  4. Step 4: Simplify right side
    13,571.50x = 117,707,150.44
  5. Step 5: Solve for x
    x = 117,707,150.44/13,571.50
  6. Step 6: Final answer
    x = 8,673.11

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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.