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Finding the Fourth Proportional to 12,034.02, 18,027.08 and 11,006.14

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Solution

The fourth proportional to 12,034.02, 18,027.08 and 11,006.14 is: 16,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.02 : 18,027.08 = 11,006.14 : x
  2. Step 2: Convert to fraction form
    12,034.02/18,027.08 = 11,006.14/x
  3. Step 3: Cross multiply
    12,034.02x = 18,027.08 × 11,006.14
  4. Step 4: Simplify right side
    12,034.02x = 198,408,566.27
  5. Step 5: Solve for x
    x = 198,408,566.27/12,034.02
  6. Step 6: Final answer
    x = 16,487.31

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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.