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Finding the Fourth Proportional to 20,164.32, 30,224.07 and 15,217.92

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Solution

The fourth proportional to 20,164.32, 30,224.07 and 15,217.92 is: 22,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.32 : 30,224.07 = 15,217.92 : x
  2. Step 2: Convert to fraction form
    20,164.32/30,224.07 = 15,217.92/x
  3. Step 3: Cross multiply
    20,164.32x = 30,224.07 × 15,217.92
  4. Step 4: Simplify right side
    20,164.32x = 459,947,479.33
  5. Step 5: Solve for x
    x = 459,947,479.33/20,164.32
  6. Step 6: Final answer
    x = 22,809.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.