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Finding the Fourth Proportional to 20,447.34, 28,218.33 and 11,497.65

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Solution

The fourth proportional to 20,447.34, 28,218.33 and 11,497.65 is: 15,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.34 : 28,218.33 = 11,497.65 : x
  2. Step 2: Convert to fraction form
    20,447.34/28,218.33 = 11,497.65/x
  3. Step 3: Cross multiply
    20,447.34x = 28,218.33 × 11,497.65
  4. Step 4: Simplify right side
    20,447.34x = 324,444,481.92
  5. Step 5: Solve for x
    x = 324,444,481.92/20,447.34
  6. Step 6: Final answer
    x = 15,867.32

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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.