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Finding the Fourth Proportional to 18,146.49, 27,194.21 and 14,432.24

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Solution

The fourth proportional to 18,146.49, 27,194.21 and 14,432.24 is: 21,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146.49 : 27,194.21 = 14,432.24 : x
  2. Step 2: Convert to fraction form
    18,146.49/27,194.21 = 14,432.24/x
  3. Step 3: Cross multiply
    18,146.49x = 27,194.21 × 14,432.24
  4. Step 4: Simplify right side
    18,146.49x = 392,473,365.33
  5. Step 5: Solve for x
    x = 392,473,365.33/18,146.49
  6. Step 6: Final answer
    x = 21,628.06

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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.