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Finding the Fourth Proportional to 12,863.28, 17,757.39 and 9,677.79

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Solution

The fourth proportional to 12,863.28, 17,757.39 and 9,677.79 is: 13,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.28 : 17,757.39 = 9,677.79 : x
  2. Step 2: Convert to fraction form
    12,863.28/17,757.39 = 9,677.79/x
  3. Step 3: Cross multiply
    12,863.28x = 17,757.39 × 9,677.79
  4. Step 4: Simplify right side
    12,863.28x = 171,852,291.37
  5. Step 5: Solve for x
    x = 171,852,291.37/12,863.28
  6. Step 6: Final answer
    x = 13,359.91

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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.