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Finding the Fourth Proportional to 12,713.96, 17,546.82 and 7,998.14

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Solution

The fourth proportional to 12,713.96, 17,546.82 and 7,998.14 is: 11,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.96 : 17,546.82 = 7,998.14 : x
  2. Step 2: Convert to fraction form
    12,713.96/17,546.82 = 7,998.14/x
  3. Step 3: Cross multiply
    12,713.96x = 17,546.82 × 7,998.14
  4. Step 4: Simplify right side
    12,713.96x = 140,341,922.91
  5. Step 5: Solve for x
    x = 140,341,922.91/12,713.96
  6. Step 6: Final answer
    x = 11,038.41

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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.