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Finding the Fourth Proportional to 12,781.67, 19,162.03 and 5,759.58

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Solution

The fourth proportional to 12,781.67, 19,162.03 and 5,759.58 is: 8,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.67 : 19,162.03 = 5,759.58 : x
  2. Step 2: Convert to fraction form
    12,781.67/19,162.03 = 5,759.58/x
  3. Step 3: Cross multiply
    12,781.67x = 19,162.03 × 5,759.58
  4. Step 4: Simplify right side
    12,781.67x = 110,365,244.75
  5. Step 5: Solve for x
    x = 110,365,244.75/12,781.67
  6. Step 6: Final answer
    x = 8,634.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.