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Finding the Fourth Proportional to 16,028.85, 24,046.04 and 7,147.34

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Solution

The fourth proportional to 16,028.85, 24,046.04 and 7,147.34 is: 10,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,028.85 : 24,046.04 = 7,147.34 : x
  2. Step 2: Convert to fraction form
    16,028.85/24,046.04 = 7,147.34/x
  3. Step 3: Cross multiply
    16,028.85x = 24,046.04 × 7,147.34
  4. Step 4: Simplify right side
    16,028.85x = 171,865,103.30
  5. Step 5: Solve for x
    x = 171,865,103.30/16,028.85
  6. Step 6: Final answer
    x = 10,722.24

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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.