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Finding the Fourth Proportional to 12,414.40, 17,137.92 and 9,753.28

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Solution

The fourth proportional to 12,414.40, 17,137.92 and 9,753.28 is: 13,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.40 : 17,137.92 = 9,753.28 : x
  2. Step 2: Convert to fraction form
    12,414.40/17,137.92 = 9,753.28/x
  3. Step 3: Cross multiply
    12,414.40x = 17,137.92 × 9,753.28
  4. Step 4: Simplify right side
    12,414.40x = 167,150,932.38
  5. Step 5: Solve for x
    x = 167,150,932.38/12,414.40
  6. Step 6: Final answer
    x = 13,464.28

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Why These Related Problems?

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