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Finding the Fourth Proportional to 12,677.31, 17,500.86 and 7,963.92

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Solution

The fourth proportional to 12,677.31, 17,500.86 and 7,963.92 is: 10,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.31 : 17,500.86 = 7,963.92 : x
  2. Step 2: Convert to fraction form
    12,677.31/17,500.86 = 7,963.92/x
  3. Step 3: Cross multiply
    12,677.31x = 17,500.86 × 7,963.92
  4. Step 4: Simplify right side
    12,677.31x = 139,375,448.97
  5. Step 5: Solve for x
    x = 139,375,448.97/12,677.31
  6. Step 6: Final answer
    x = 10,994.09

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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.