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Finding the Fourth Proportional to 18,324.72, 27,448.12 and 12,405.24

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Solution

The fourth proportional to 18,324.72, 27,448.12 and 12,405.24 is: 18,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,324.72 : 27,448.12 = 12,405.24 : x
  2. Step 2: Convert to fraction form
    18,324.72/27,448.12 = 12,405.24/x
  3. Step 3: Cross multiply
    18,324.72x = 27,448.12 × 12,405.24
  4. Step 4: Simplify right side
    18,324.72x = 340,500,516.15
  5. Step 5: Solve for x
    x = 340,500,516.15/18,324.72
  6. Step 6: Final answer
    x = 18,581.49

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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.