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Finding the Fourth Proportional to 13,596.80, 18,763.80 and 7,546.88

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Solution

The fourth proportional to 13,596.80, 18,763.80 and 7,546.88 is: 10,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.80 : 18,763.80 = 7,546.88 : x
  2. Step 2: Convert to fraction form
    13,596.80/18,763.80 = 7,546.88/x
  3. Step 3: Cross multiply
    13,596.80x = 18,763.80 × 7,546.88
  4. Step 4: Simplify right side
    13,596.80x = 141,608,146.94
  5. Step 5: Solve for x
    x = 141,608,146.94/13,596.80
  6. Step 6: Final answer
    x = 10,414.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.