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Finding the Fourth Proportional to 12,836.41, 17,714.36 and 7,531.31

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Solution

The fourth proportional to 12,836.41, 17,714.36 and 7,531.31 is: 10,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.41 : 17,714.36 = 7,531.31 : x
  2. Step 2: Convert to fraction form
    12,836.41/17,714.36 = 7,531.31/x
  3. Step 3: Cross multiply
    12,836.41x = 17,714.36 × 7,531.31
  4. Step 4: Simplify right side
    12,836.41x = 133,412,399.73
  5. Step 5: Solve for x
    x = 133,412,399.73/12,836.41
  6. Step 6: Final answer
    x = 10,393.28

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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.