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Finding the Fourth Proportional to 12,380.06, 18,553.65 and 10,728.87

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Solution

The fourth proportional to 12,380.06, 18,553.65 and 10,728.87 is: 16,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.06 : 18,553.65 = 10,728.87 : x
  2. Step 2: Convert to fraction form
    12,380.06/18,553.65 = 10,728.87/x
  3. Step 3: Cross multiply
    12,380.06x = 18,553.65 × 10,728.87
  4. Step 4: Simplify right side
    12,380.06x = 199,059,698.88
  5. Step 5: Solve for x
    x = 199,059,698.88/12,380.06
  6. Step 6: Final answer
    x = 16,079.06

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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.