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Finding the Fourth Proportional to 12,761.74, 19,141.80 and 3,996.46

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Solution

The fourth proportional to 12,761.74, 19,141.80 and 3,996.46 is: 5,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.74 : 19,141.80 = 3,996.46 : x
  2. Step 2: Convert to fraction form
    12,761.74/19,141.80 = 3,996.46/x
  3. Step 3: Cross multiply
    12,761.74x = 19,141.80 × 3,996.46
  4. Step 4: Simplify right side
    12,761.74x = 76,499,438.03
  5. Step 5: Solve for x
    x = 76,499,438.03/12,761.74
  6. Step 6: Final answer
    x = 5,994.44

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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.