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Finding the Fourth Proportional to 27,194.27, 40,781.15 and 13,149.63

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Solution

The fourth proportional to 27,194.27, 40,781.15 and 13,149.63 is: 19,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194.27 : 40,781.15 = 13,149.63 : x
  2. Step 2: Convert to fraction form
    27,194.27/40,781.15 = 13,149.63/x
  3. Step 3: Cross multiply
    27,194.27x = 40,781.15 × 13,149.63
  4. Step 4: Simplify right side
    27,194.27x = 536,256,967.73
  5. Step 5: Solve for x
    x = 536,256,967.73/27,194.27
  6. Step 6: Final answer
    x = 19,719.49

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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.