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Finding the Fourth Proportional to 16,500.27, 22,765.09 and 10,120.30

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Solution

The fourth proportional to 16,500.27, 22,765.09 and 10,120.30 is: 13,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.27 : 22,765.09 = 10,120.30 : x
  2. Step 2: Convert to fraction form
    16,500.27/22,765.09 = 10,120.30/x
  3. Step 3: Cross multiply
    16,500.27x = 22,765.09 × 10,120.30
  4. Step 4: Simplify right side
    16,500.27x = 230,389,540.33
  5. Step 5: Solve for x
    x = 230,389,540.33/16,500.27
  6. Step 6: Final answer
    x = 13,962.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.