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Finding the Fourth Proportional to 24,850.67, 37,270.75 and 8,206.90

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Solution

The fourth proportional to 24,850.67, 37,270.75 and 8,206.90 is: 12,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850.67 : 37,270.75 = 8,206.90 : x
  2. Step 2: Convert to fraction form
    24,850.67/37,270.75 = 8,206.90/x
  3. Step 3: Cross multiply
    24,850.67x = 37,270.75 × 8,206.90
  4. Step 4: Simplify right side
    24,850.67x = 305,877,429.52
  5. Step 5: Solve for x
    x = 305,877,429.52/24,850.67
  6. Step 6: Final answer
    x = 12,308.62

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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.