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Finding the Fourth Proportional to 14,003.28, 20,986.20 and 10,288.08

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Solution

The fourth proportional to 14,003.28, 20,986.20 and 10,288.08 is: 15,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.28 : 20,986.20 = 10,288.08 : x
  2. Step 2: Convert to fraction form
    14,003.28/20,986.20 = 10,288.08/x
  3. Step 3: Cross multiply
    14,003.28x = 20,986.20 × 10,288.08
  4. Step 4: Simplify right side
    14,003.28x = 215,907,704.50
  5. Step 5: Solve for x
    x = 215,907,704.50/14,003.28
  6. Step 6: Final answer
    x = 15,418.37

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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.