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Finding the Fourth Proportional to 18,773.50, 28,149.31 and 8,243.10

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Solution

The fourth proportional to 18,773.50, 28,149.31 and 8,243.10 is: 12,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,773.50 : 28,149.31 = 8,243.10 : x
  2. Step 2: Convert to fraction form
    18,773.50/28,149.31 = 8,243.10/x
  3. Step 3: Cross multiply
    18,773.50x = 28,149.31 × 8,243.10
  4. Step 4: Simplify right side
    18,773.50x = 232,037,577.26
  5. Step 5: Solve for x
    x = 232,037,577.26/18,773.50
  6. Step 6: Final answer
    x = 12,359.85

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Why These Related Problems?

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