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Finding the Fourth Proportional to 12,974.23, 17,905.10 and 7,936.87

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Solution

The fourth proportional to 12,974.23, 17,905.10 and 7,936.87 is: 10,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.23 : 17,905.10 = 7,936.87 : x
  2. Step 2: Convert to fraction form
    12,974.23/17,905.10 = 7,936.87/x
  3. Step 3: Cross multiply
    12,974.23x = 17,905.10 × 7,936.87
  4. Step 4: Simplify right side
    12,974.23x = 142,110,451.04
  5. Step 5: Solve for x
    x = 142,110,451.04/12,974.23
  6. Step 6: Final answer
    x = 10,953.29

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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.