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Finding the Fourth Proportional to 12,453.39, 17,182.67 and 7,414.38

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Solution

The fourth proportional to 12,453.39, 17,182.67 and 7,414.38 is: 10,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.39 : 17,182.67 = 7,414.38 : x
  2. Step 2: Convert to fraction form
    12,453.39/17,182.67 = 7,414.38/x
  3. Step 3: Cross multiply
    12,453.39x = 17,182.67 × 7,414.38
  4. Step 4: Simplify right side
    12,453.39x = 127,398,807.72
  5. Step 5: Solve for x
    x = 127,398,807.72/12,453.39
  6. Step 6: Final answer
    x = 10,230.05

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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.