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Finding the Fourth Proportional to 13,197.32, 19,791.18 and 3,834.80

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Solution

The fourth proportional to 13,197.32, 19,791.18 and 3,834.80 is: 5,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.32 : 19,791.18 = 3,834.80 : x
  2. Step 2: Convert to fraction form
    13,197.32/19,791.18 = 3,834.80/x
  3. Step 3: Cross multiply
    13,197.32x = 19,791.18 × 3,834.80
  4. Step 4: Simplify right side
    13,197.32x = 75,895,118.11
  5. Step 5: Solve for x
    x = 75,895,118.11/13,197.32
  6. Step 6: Final answer
    x = 5,750.80

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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.