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Finding the Fourth Proportional to 16,576.16, 22,850.92 and 13,033.20

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Solution

The fourth proportional to 16,576.16, 22,850.92 and 13,033.20 is: 17,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.16 : 22,850.92 = 13,033.20 : x
  2. Step 2: Convert to fraction form
    16,576.16/22,850.92 = 13,033.20/x
  3. Step 3: Cross multiply
    16,576.16x = 22,850.92 × 13,033.20
  4. Step 4: Simplify right side
    16,576.16x = 297,820,610.54
  5. Step 5: Solve for x
    x = 297,820,610.54/16,576.16
  6. Step 6: Final answer
    x = 17,966.80

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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.