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Finding the Fourth Proportional to 19,743.84, 27,234 and 12,679.20

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Solution

The fourth proportional to 19,743.84, 27,234 and 12,679.20 is: 17,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743.84 : 27,234 = 12,679.20 : x
  2. Step 2: Convert to fraction form
    19,743.84/27,234 = 12,679.20/x
  3. Step 3: Cross multiply
    19,743.84x = 27,234 × 12,679.20
  4. Step 4: Simplify right side
    19,743.84x = 345,305,332.80
  5. Step 5: Solve for x
    x = 345,305,332.80/19,743.84
  6. Step 6: Final answer
    x = 17,489.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.