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Finding the Fourth Proportional to 13,504.70, 20,256.82 and 6,103.98

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Solution

The fourth proportional to 13,504.70, 20,256.82 and 6,103.98 is: 9,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.70 : 20,256.82 = 6,103.98 : x
  2. Step 2: Convert to fraction form
    13,504.70/20,256.82 = 6,103.98/x
  3. Step 3: Cross multiply
    13,504.70x = 20,256.82 × 6,103.98
  4. Step 4: Simplify right side
    13,504.70x = 123,647,224.14
  5. Step 5: Solve for x
    x = 123,647,224.14/13,504.70
  6. Step 6: Final answer
    x = 9,155.87

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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.