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Finding the Fourth Proportional to 30,821.92, 42,524.40 and 18,244.24

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Solution

The fourth proportional to 30,821.92, 42,524.40 and 18,244.24 is: 25,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.92 : 42,524.40 = 18,244.24 : x
  2. Step 2: Convert to fraction form
    30,821.92/42,524.40 = 18,244.24/x
  3. Step 3: Cross multiply
    30,821.92x = 42,524.40 × 18,244.24
  4. Step 4: Simplify right side
    30,821.92x = 775,825,359.46
  5. Step 5: Solve for x
    x = 775,825,359.46/30,821.92
  6. Step 6: Final answer
    x = 25,171.22

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