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Finding the Fourth Proportional to 13,650.98, 20,475.47 and 5,329.42

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Solution

The fourth proportional to 13,650.98, 20,475.47 and 5,329.42 is: 7,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.98 : 20,475.47 = 5,329.42 : x
  2. Step 2: Convert to fraction form
    13,650.98/20,475.47 = 5,329.42/x
  3. Step 3: Cross multiply
    13,650.98x = 20,475.47 × 5,329.42
  4. Step 4: Simplify right side
    13,650.98x = 109,122,379.33
  5. Step 5: Solve for x
    x = 109,122,379.33/13,650.98
  6. Step 6: Final answer
    x = 7,993.74

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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.