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Finding the Fourth Proportional to 12,982.71, 17,917.88 and 7,318.69

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Solution

The fourth proportional to 12,982.71, 17,917.88 and 7,318.69 is: 10,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982.71 : 17,917.88 = 7,318.69 : x
  2. Step 2: Convert to fraction form
    12,982.71/17,917.88 = 7,318.69/x
  3. Step 3: Cross multiply
    12,982.71x = 17,917.88 × 7,318.69
  4. Step 4: Simplify right side
    12,982.71x = 131,135,327.79
  5. Step 5: Solve for x
    x = 131,135,327.79/12,982.71
  6. Step 6: Final answer
    x = 10,100.76

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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.