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Finding the Fourth Proportional to 13,589.28, 20,351.08 and 7,728.12

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Solution

The fourth proportional to 13,589.28, 20,351.08 and 7,728.12 is: 11,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.28 : 20,351.08 = 7,728.12 : x
  2. Step 2: Convert to fraction form
    13,589.28/20,351.08 = 7,728.12/x
  3. Step 3: Cross multiply
    13,589.28x = 20,351.08 × 7,728.12
  4. Step 4: Simplify right side
    13,589.28x = 157,275,588.37
  5. Step 5: Solve for x
    x = 157,275,588.37/13,589.28
  6. Step 6: Final answer
    x = 11,573.50

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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.