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Finding the Fourth Proportional to 13,649.41, 20,474.52 and 5,329.09

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Solution

The fourth proportional to 13,649.41, 20,474.52 and 5,329.09 is: 7,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.41 : 20,474.52 = 5,329.09 : x
  2. Step 2: Convert to fraction form
    13,649.41/20,474.52 = 5,329.09/x
  3. Step 3: Cross multiply
    13,649.41x = 20,474.52 × 5,329.09
  4. Step 4: Simplify right side
    13,649.41x = 109,110,559.79
  5. Step 5: Solve for x
    x = 109,110,559.79/13,649.41
  6. Step 6: Final answer
    x = 7,993.79

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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.