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Finding the Fourth Proportional to 18,164.88, 27,247.17 and 5,685.03

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Solution

The fourth proportional to 18,164.88, 27,247.17 and 5,685.03 is: 8,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.88 : 27,247.17 = 5,685.03 : x
  2. Step 2: Convert to fraction form
    18,164.88/27,247.17 = 5,685.03/x
  3. Step 3: Cross multiply
    18,164.88x = 27,247.17 × 5,685.03
  4. Step 4: Simplify right side
    18,164.88x = 154,900,978.87
  5. Step 5: Solve for x
    x = 154,900,978.87/18,164.88
  6. Step 6: Final answer
    x = 8,527.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.