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Finding the Fourth Proportional to 28,872, 39,843.36 and 16,296.48

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Solution

The fourth proportional to 28,872, 39,843.36 and 16,296.48 is: 22,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,872 : 39,843.36 = 16,296.48 : x
  2. Step 2: Convert to fraction form
    28,872/39,843.36 = 16,296.48/x
  3. Step 3: Cross multiply
    28,872x = 39,843.36 × 16,296.48
  4. Step 4: Simplify right side
    28,872x = 649,306,519.37
  5. Step 5: Solve for x
    x = 649,306,519.37/28,872
  6. Step 6: Final answer
    x = 22,489.14

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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.