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Finding the Fourth Proportional to 29,676.06, 44,514.09 and 12,138.78

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Solution

The fourth proportional to 29,676.06, 44,514.09 and 12,138.78 is: 18,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,676.06 : 44,514.09 = 12,138.78 : x
  2. Step 2: Convert to fraction form
    29,676.06/44,514.09 = 12,138.78/x
  3. Step 3: Cross multiply
    29,676.06x = 44,514.09 × 12,138.78
  4. Step 4: Simplify right side
    29,676.06x = 540,346,745.41
  5. Step 5: Solve for x
    x = 540,346,745.41/29,676.06
  6. Step 6: Final answer
    x = 18,208.17

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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.