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Finding the Fourth Proportional to 12,634.14, 17,434.92 and 7,329.87

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Solution

The fourth proportional to 12,634.14, 17,434.92 and 7,329.87 is: 10,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.14 : 17,434.92 = 7,329.87 : x
  2. Step 2: Convert to fraction form
    12,634.14/17,434.92 = 7,329.87/x
  3. Step 3: Cross multiply
    12,634.14x = 17,434.92 × 7,329.87
  4. Step 4: Simplify right side
    12,634.14x = 127,795,697.06
  5. Step 5: Solve for x
    x = 127,795,697.06/12,634.14
  6. Step 6: Final answer
    x = 10,115.11

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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.