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Finding the Fourth Proportional to 24,791.67, 37,182.65 and 7,257.40

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Solution

The fourth proportional to 24,791.67, 37,182.65 and 7,257.40 is: 10,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.67 : 37,182.65 = 7,257.40 : x
  2. Step 2: Convert to fraction form
    24,791.67/37,182.65 = 7,257.40/x
  3. Step 3: Cross multiply
    24,791.67x = 37,182.65 × 7,257.40
  4. Step 4: Simplify right side
    24,791.67x = 269,849,234.87
  5. Step 5: Solve for x
    x = 269,849,234.87/24,791.67
  6. Step 6: Final answer
    x = 10,884.67

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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.