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Finding the Fourth Proportional to 30,225.80, 41,705.16 and 18,286.76

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Solution

The fourth proportional to 30,225.80, 41,705.16 and 18,286.76 is: 25,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.80 : 41,705.16 = 18,286.76 : x
  2. Step 2: Convert to fraction form
    30,225.80/41,705.16 = 18,286.76/x
  3. Step 3: Cross multiply
    30,225.80x = 41,705.16 × 18,286.76
  4. Step 4: Simplify right side
    30,225.80x = 762,652,251.68
  5. Step 5: Solve for x
    x = 762,652,251.68/30,225.80
  6. Step 6: Final answer
    x = 25,231.83

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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.