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Finding the Fourth Proportional to 12,781.53, 19,172.16 and 3,422.39

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Solution

The fourth proportional to 12,781.53, 19,172.16 and 3,422.39 is: 5,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.53 : 19,172.16 = 3,422.39 : x
  2. Step 2: Convert to fraction form
    12,781.53/19,172.16 = 3,422.39/x
  3. Step 3: Cross multiply
    12,781.53x = 19,172.16 × 3,422.39
  4. Step 4: Simplify right side
    12,781.53x = 65,614,512.80
  5. Step 5: Solve for x
    x = 65,614,512.80/12,781.53
  6. Step 6: Final answer
    x = 5,133.54

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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.