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Finding the Fourth Proportional to 12,576.64, 17,353.84 and 7,198.20

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Solution

The fourth proportional to 12,576.64, 17,353.84 and 7,198.20 is: 9,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.64 : 17,353.84 = 7,198.20 : x
  2. Step 2: Convert to fraction form
    12,576.64/17,353.84 = 7,198.20/x
  3. Step 3: Cross multiply
    12,576.64x = 17,353.84 × 7,198.20
  4. Step 4: Simplify right side
    12,576.64x = 124,916,411.09
  5. Step 5: Solve for x
    x = 124,916,411.09/12,576.64
  6. Step 6: Final answer
    x = 9,932.42

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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.