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Finding the Fourth Proportional to 12,836.41, 17,714.77 and 7,458.82

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Solution

The fourth proportional to 12,836.41, 17,714.77 and 7,458.82 is: 10,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.41 : 17,714.77 = 7,458.82 : x
  2. Step 2: Convert to fraction form
    12,836.41/17,714.77 = 7,458.82/x
  3. Step 3: Cross multiply
    12,836.41x = 17,714.77 × 7,458.82
  4. Step 4: Simplify right side
    12,836.41x = 132,131,217.84
  5. Step 5: Solve for x
    x = 132,131,217.84/12,836.41
  6. Step 6: Final answer
    x = 10,293.47

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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.