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Finding the Fourth Proportional to 13,408.65, 20,106.50 and 7,863.80

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Solution

The fourth proportional to 13,408.65, 20,106.50 and 7,863.80 is: 11,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.65 : 20,106.50 = 7,863.80 : x
  2. Step 2: Convert to fraction form
    13,408.65/20,106.50 = 7,863.80/x
  3. Step 3: Cross multiply
    13,408.65x = 20,106.50 × 7,863.80
  4. Step 4: Simplify right side
    13,408.65x = 158,113,354.85
  5. Step 5: Solve for x
    x = 158,113,354.85/13,408.65
  6. Step 6: Final answer
    x = 11,791.89

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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.