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Finding the Fourth Proportional to 12,189.72, 18,274.50 and 5,610.36

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Solution

The fourth proportional to 12,189.72, 18,274.50 and 5,610.36 is: 8,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.72 : 18,274.50 = 5,610.36 : x
  2. Step 2: Convert to fraction form
    12,189.72/18,274.50 = 5,610.36/x
  3. Step 3: Cross multiply
    12,189.72x = 18,274.50 × 5,610.36
  4. Step 4: Simplify right side
    12,189.72x = 102,526,523.82
  5. Step 5: Solve for x
    x = 102,526,523.82/12,189.72
  6. Step 6: Final answer
    x = 8,410.90

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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.