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Finding the Fourth Proportional to 18,596.20, 25,662.96 and 10,638.76

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Solution

The fourth proportional to 18,596.20, 25,662.96 and 10,638.76 is: 14,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.20 : 25,662.96 = 10,638.76 : x
  2. Step 2: Convert to fraction form
    18,596.20/25,662.96 = 10,638.76/x
  3. Step 3: Cross multiply
    18,596.20x = 25,662.96 × 10,638.76
  4. Step 4: Simplify right side
    18,596.20x = 273,022,072.33
  5. Step 5: Solve for x
    x = 273,022,072.33/18,596.20
  6. Step 6: Final answer
    x = 14,681.61

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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.