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Finding the Fourth Proportional to 18,096.39, 27,144.65 and 6,409.95

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Solution

The fourth proportional to 18,096.39, 27,144.65 and 6,409.95 is: 9,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096.39 : 27,144.65 = 6,409.95 : x
  2. Step 2: Convert to fraction form
    18,096.39/27,144.65 = 6,409.95/x
  3. Step 3: Cross multiply
    18,096.39x = 27,144.65 × 6,409.95
  4. Step 4: Simplify right side
    18,096.39x = 173,995,817.22
  5. Step 5: Solve for x
    x = 173,995,817.22/18,096.39
  6. Step 6: Final answer
    x = 9,614.95

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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.