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Finding the Fourth Proportional to 12,677.64, 19,003.68 and 5,286.18

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Solution

The fourth proportional to 12,677.64, 19,003.68 and 5,286.18 is: 7,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.64 : 19,003.68 = 5,286.18 : x
  2. Step 2: Convert to fraction form
    12,677.64/19,003.68 = 5,286.18/x
  3. Step 3: Cross multiply
    12,677.64x = 19,003.68 × 5,286.18
  4. Step 4: Simplify right side
    12,677.64x = 100,456,873.14
  5. Step 5: Solve for x
    x = 100,456,873.14/12,677.64
  6. Step 6: Final answer
    x = 7,923.94

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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.