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Finding the Fourth Proportional to 12,164.50, 18,247.92 and 5,592.52

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Solution

The fourth proportional to 12,164.50, 18,247.92 and 5,592.52 is: 8,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.50 : 18,247.92 = 5,592.52 : x
  2. Step 2: Convert to fraction form
    12,164.50/18,247.92 = 5,592.52/x
  3. Step 3: Cross multiply
    12,164.50x = 18,247.92 × 5,592.52
  4. Step 4: Simplify right side
    12,164.50x = 102,051,857.56
  5. Step 5: Solve for x
    x = 102,051,857.56/12,164.50
  6. Step 6: Final answer
    x = 8,389.32

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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.