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Finding the Fourth Proportional to 12,714.98, 17,555.34 and 7,936.78

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Solution

The fourth proportional to 12,714.98, 17,555.34 and 7,936.78 is: 10,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.98 : 17,555.34 = 7,936.78 : x
  2. Step 2: Convert to fraction form
    12,714.98/17,555.34 = 7,936.78/x
  3. Step 3: Cross multiply
    12,714.98x = 17,555.34 × 7,936.78
  4. Step 4: Simplify right side
    12,714.98x = 139,332,871.41
  5. Step 5: Solve for x
    x = 139,332,871.41/12,714.98
  6. Step 6: Final answer
    x = 10,958.17

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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.