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Finding the Fourth Proportional to 12,013.31, 18,022.85 and 5,437.73

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Solution

The fourth proportional to 12,013.31, 18,022.85 and 5,437.73 is: 8,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.31 : 18,022.85 = 5,437.73 : x
  2. Step 2: Convert to fraction form
    12,013.31/18,022.85 = 5,437.73/x
  3. Step 3: Cross multiply
    12,013.31x = 18,022.85 × 5,437.73
  4. Step 4: Simplify right side
    12,013.31x = 98,003,460.98
  5. Step 5: Solve for x
    x = 98,003,460.98/12,013.31
  6. Step 6: Final answer
    x = 8,157.90

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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.