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Finding the Fourth Proportional to 13,769.88, 20,596.50 and 9,337.56

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Solution

The fourth proportional to 13,769.88, 20,596.50 and 9,337.56 is: 13,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.88 : 20,596.50 = 9,337.56 : x
  2. Step 2: Convert to fraction form
    13,769.88/20,596.50 = 9,337.56/x
  3. Step 3: Cross multiply
    13,769.88x = 20,596.50 × 9,337.56
  4. Step 4: Simplify right side
    13,769.88x = 192,321,054.54
  5. Step 5: Solve for x
    x = 192,321,054.54/13,769.88
  6. Step 6: Final answer
    x = 13,966.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.