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Finding the Fourth Proportional to 20,469.42, 28,245.51 and 11,520

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Solution

The fourth proportional to 20,469.42, 28,245.51 and 11,520 is: 15,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.42 : 28,245.51 = 11,520 : x
  2. Step 2: Convert to fraction form
    20,469.42/28,245.51 = 11,520/x
  3. Step 3: Cross multiply
    20,469.42x = 28,245.51 × 11,520
  4. Step 4: Simplify right side
    20,469.42x = 325,388,275.20
  5. Step 5: Solve for x
    x = 325,388,275.20/20,469.42
  6. Step 6: Final answer
    x = 15,896.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.