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Finding the Fourth Proportional to 24,817.70, 37,226.25 and 7,286.90

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Solution

The fourth proportional to 24,817.70, 37,226.25 and 7,286.90 is: 10,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,817.70 : 37,226.25 = 7,286.90 : x
  2. Step 2: Convert to fraction form
    24,817.70/37,226.25 = 7,286.90/x
  3. Step 3: Cross multiply
    24,817.70x = 37,226.25 × 7,286.90
  4. Step 4: Simplify right side
    24,817.70x = 271,263,961.13
  5. Step 5: Solve for x
    x = 271,263,961.13/24,817.70
  6. Step 6: Final answer
    x = 10,930.26

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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.