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Finding the Fourth Proportional to 24,817.42, 37,231.62 and 8,176.78

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Solution

The fourth proportional to 24,817.42, 37,231.62 and 8,176.78 is: 12,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,817.42 : 37,231.62 = 8,176.78 : x
  2. Step 2: Convert to fraction form
    24,817.42/37,231.62 = 8,176.78/x
  3. Step 3: Cross multiply
    24,817.42x = 37,231.62 × 8,176.78
  4. Step 4: Simplify right side
    24,817.42x = 304,434,765.78
  5. Step 5: Solve for x
    x = 304,434,765.78/24,817.42
  6. Step 6: Final answer
    x = 12,266.98

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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.