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Finding the Fourth Proportional to 12,781.66, 19,172.37 and 3,293.95

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Solution

The fourth proportional to 12,781.66, 19,172.37 and 3,293.95 is: 4,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.66 : 19,172.37 = 3,293.95 : x
  2. Step 2: Convert to fraction form
    12,781.66/19,172.37 = 3,293.95/x
  3. Step 3: Cross multiply
    12,781.66x = 19,172.37 × 3,293.95
  4. Step 4: Simplify right side
    12,781.66x = 63,152,819.27
  5. Step 5: Solve for x
    x = 63,152,819.27/12,781.66
  6. Step 6: Final answer
    x = 4,940.89

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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.