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Finding the Fourth Proportional to 16,500.50, 22,765.44 and 10,120.54

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Solution

The fourth proportional to 16,500.50, 22,765.44 and 10,120.54 is: 13,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.50 : 22,765.44 = 10,120.54 : x
  2. Step 2: Convert to fraction form
    16,500.50/22,765.44 = 10,120.54/x
  3. Step 3: Cross multiply
    16,500.50x = 22,765.44 × 10,120.54
  4. Step 4: Simplify right side
    16,500.50x = 230,398,546.14
  5. Step 5: Solve for x
    x = 230,398,546.14/16,500.50
  6. Step 6: Final answer
    x = 13,963.13

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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.