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Finding the Fourth Proportional to 27,408.38, 41,118.71 and 8,434.94

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Solution

The fourth proportional to 27,408.38, 41,118.71 and 8,434.94 is: 12,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.38 : 41,118.71 = 8,434.94 : x
  2. Step 2: Convert to fraction form
    27,408.38/41,118.71 = 8,434.94/x
  3. Step 3: Cross multiply
    27,408.38x = 41,118.71 × 8,434.94
  4. Step 4: Simplify right side
    27,408.38x = 346,833,603.96
  5. Step 5: Solve for x
    x = 346,833,603.96/27,408.38
  6. Step 6: Final answer
    x = 12,654.29

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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.