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Finding the Fourth Proportional to 20,467.52, 30,632.16 and 12,682.88

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Solution

The fourth proportional to 20,467.52, 30,632.16 and 12,682.88 is: 18,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,467.52 : 30,632.16 = 12,682.88 : x
  2. Step 2: Convert to fraction form
    20,467.52/30,632.16 = 12,682.88/x
  3. Step 3: Cross multiply
    20,467.52x = 30,632.16 × 12,682.88
  4. Step 4: Simplify right side
    20,467.52x = 388,504,009.42
  5. Step 5: Solve for x
    x = 388,504,009.42/20,467.52
  6. Step 6: Final answer
    x = 18,981.49

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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.