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Finding the Fourth Proportional to 12,781.68, 19,169.64 and 3,548.40

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Solution

The fourth proportional to 12,781.68, 19,169.64 and 3,548.40 is: 5,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.68 : 19,169.64 = 3,548.40 : x
  2. Step 2: Convert to fraction form
    12,781.68/19,169.64 = 3,548.40/x
  3. Step 3: Cross multiply
    12,781.68x = 19,169.64 × 3,548.40
  4. Step 4: Simplify right side
    12,781.68x = 68,021,550.58
  5. Step 5: Solve for x
    x = 68,021,550.58/12,781.68
  6. Step 6: Final answer
    x = 5,321.80

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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.