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Finding the Fourth Proportional to 34,963.83, 52,408.40 and 13,874.67

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Solution

The fourth proportional to 34,963.83, 52,408.40 and 13,874.67 is: 20,797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,963.83 : 52,408.40 = 13,874.67 : x
  2. Step 2: Convert to fraction form
    34,963.83/52,408.40 = 13,874.67/x
  3. Step 3: Cross multiply
    34,963.83x = 52,408.40 × 13,874.67
  4. Step 4: Simplify right side
    34,963.83x = 727,149,185.85
  5. Step 5: Solve for x
    x = 727,149,185.85/34,963.83
  6. Step 6: Final answer
    x = 20,797.18

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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.