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Finding the Fourth Proportional to 12,380.98, 18,527.10 and 10,720.83

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Solution

The fourth proportional to 12,380.98, 18,527.10 and 10,720.83 is: 16,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.98 : 18,527.10 = 10,720.83 : x
  2. Step 2: Convert to fraction form
    12,380.98/18,527.10 = 10,720.83/x
  3. Step 3: Cross multiply
    12,380.98x = 18,527.10 × 10,720.83
  4. Step 4: Simplify right side
    12,380.98x = 198,625,889.49
  5. Step 5: Solve for x
    x = 198,625,889.49/12,380.98
  6. Step 6: Final answer
    x = 16,042.82

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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.