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Finding the Fourth Proportional to 12,836.62, 17,714.32 and 7,171.46

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Solution

The fourth proportional to 12,836.62, 17,714.32 and 7,171.46 is: 9,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.62 : 17,714.32 = 7,171.46 : x
  2. Step 2: Convert to fraction form
    12,836.62/17,714.32 = 7,171.46/x
  3. Step 3: Cross multiply
    12,836.62x = 17,714.32 × 7,171.46
  4. Step 4: Simplify right side
    12,836.62x = 127,037,537.31
  5. Step 5: Solve for x
    x = 127,037,537.31/12,836.62
  6. Step 6: Final answer
    x = 9,896.49

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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.