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Finding the Fourth Proportional to 13,965.50, 20,934.27 and 7,728.30

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Solution

The fourth proportional to 13,965.50, 20,934.27 and 7,728.30 is: 11,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.50 : 20,934.27 = 7,728.30 : x
  2. Step 2: Convert to fraction form
    13,965.50/20,934.27 = 7,728.30/x
  3. Step 3: Cross multiply
    13,965.50x = 20,934.27 × 7,728.30
  4. Step 4: Simplify right side
    13,965.50x = 161,786,318.84
  5. Step 5: Solve for x
    x = 161,786,318.84/13,965.50
  6. Step 6: Final answer
    x = 11,584.72

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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.