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Finding the Fourth Proportional to 13,711.20, 20,571.60 and 13,231.20

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Solution

The fourth proportional to 13,711.20, 20,571.60 and 13,231.20 is: 19,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.20 : 20,571.60 = 13,231.20 : x
  2. Step 2: Convert to fraction form
    13,711.20/20,571.60 = 13,231.20/x
  3. Step 3: Cross multiply
    13,711.20x = 20,571.60 × 13,231.20
  4. Step 4: Simplify right side
    13,711.20x = 272,186,953.92
  5. Step 5: Solve for x
    x = 272,186,953.92/13,711.20
  6. Step 6: Final answer
    x = 19,851.43

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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.