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Finding the Fourth Proportional to 12,512.49, 17,264.84 and 7,134.83

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Solution

The fourth proportional to 12,512.49, 17,264.84 and 7,134.83 is: 9,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.49 : 17,264.84 = 7,134.83 : x
  2. Step 2: Convert to fraction form
    12,512.49/17,264.84 = 7,134.83/x
  3. Step 3: Cross multiply
    12,512.49x = 17,264.84 × 7,134.83
  4. Step 4: Simplify right side
    12,512.49x = 123,181,576.38
  5. Step 5: Solve for x
    x = 123,181,576.38/12,512.49
  6. Step 6: Final answer
    x = 9,844.69

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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.