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Finding the Fourth Proportional to 11,694.14, 17,542.34 and 4,672.49

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Solution

The fourth proportional to 11,694.14, 17,542.34 and 4,672.49 is: 7,009.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.14 : 17,542.34 = 4,672.49 : x
  2. Step 2: Convert to fraction form
    11,694.14/17,542.34 = 4,672.49/x
  3. Step 3: Cross multiply
    11,694.14x = 17,542.34 × 4,672.49
  4. Step 4: Simplify right side
    11,694.14x = 81,966,314.67
  5. Step 5: Solve for x
    x = 81,966,314.67/11,694.14
  6. Step 6: Final answer
    x = 7,009.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.