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Finding the Fourth Proportional to 13,649.57, 20,474.36 and 3,788.85

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Solution

The fourth proportional to 13,649.57, 20,474.36 and 3,788.85 is: 5,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.57 : 20,474.36 = 3,788.85 : x
  2. Step 2: Convert to fraction form
    13,649.57/20,474.36 = 3,788.85/x
  3. Step 3: Cross multiply
    13,649.57x = 20,474.36 × 3,788.85
  4. Step 4: Simplify right side
    13,649.57x = 77,574,197.37
  5. Step 5: Solve for x
    x = 77,574,197.37/13,649.57
  6. Step 6: Final answer
    x = 5,683.27

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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.